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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load_ext watermark"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%watermark -a 'Sebastian Raschka' -v -d -p numpy,scipy,matplotlib,scikit-learn"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Sebastian Raschka 24/08/2014 \n",
        "\n",
        "CPython 3.4.1\n",
        "IPython 2.1.0\n",
        "\n",
        "numpy 1.8.1\n",
        "scipy 0.14.0\n",
        "matplotlib 1.3.1\n",
        "scikit-learn 0.15.0b1\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Matplolib examples - visualization techniques for exploratory data analysis"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "There are enumerous useful visualization techniques that are useful for exploratory data analysis: In practice, the choice highly depends on the kind of data and the question at hand. \n",
      "\n",
      "This IPython notebook is a small gallery for visualizing the Iris flower dataset. This gallery is more meant to be a code matplotlib reference so that certain plots may be more or less useful in the context of this dataset. "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Sections"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "- [Reading in the dataset](#Reading-in-the-dataset)\n",
      "- [Pie chart](#Pie-chart)\n",
      "- [Bar plot](#Bar-plot)\n",
      "- [Box plot](#Box-plot)\n",
      "- [1D Histogram](#1D-Histogram)\n",
      "- [2D Histogram](#2D-Histogram)\n",
      "- [3D Histogram](#3D-Histogram)\n",
      "- [Scatter plot](#Scatter-plot)\n",
      "- [3D Scatter plot](#3D-Scatter-plot)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Reading in the dataset"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas as pd\n",
      "\n",
      "# dictionary of the feature names\n",
      "feature_dict = {i:label for i,label in zip(\n",
      "            range(4),\n",
      "              ('sepal length in cm', \n",
      "              'sepal width in cm', \n",
      "              'petal length in cm', \n",
      "              'petal width in cm', ))}\n",
      "\n",
      "# reading the CSV file directly from the UCI machine learning repository\n",
      "df = pd.io.parsers.read_csv(\n",
      "    filepath_or_buffer='https://archive.ics.uci.edu/ml/machine-learning-databases/iris/iris.data', \n",
      "    header=None, \n",
      "    sep=',', \n",
      "    )\n",
      "\n",
      "df.columns = [l for i,l in sorted(feature_dict.items())] + ['class label']\n",
      "df.dropna(how=\"all\", inplace=True) # to drop the empty line at file-end\n",
      "\n",
      "df.tail()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>sepal length in cm</th>\n",
        "      <th>sepal width in cm</th>\n",
        "      <th>petal length in cm</th>\n",
        "      <th>petal width in cm</th>\n",
        "      <th>class label</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>145</th>\n",
        "      <td> 6.7</td>\n",
        "      <td> 3.0</td>\n",
        "      <td> 5.2</td>\n",
        "      <td> 2.3</td>\n",
        "      <td> Iris-virginica</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>146</th>\n",
        "      <td> 6.3</td>\n",
        "      <td> 2.5</td>\n",
        "      <td> 5.0</td>\n",
        "      <td> 1.9</td>\n",
        "      <td> Iris-virginica</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>147</th>\n",
        "      <td> 6.5</td>\n",
        "      <td> 3.0</td>\n",
        "      <td> 5.2</td>\n",
        "      <td> 2.0</td>\n",
        "      <td> Iris-virginica</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>148</th>\n",
        "      <td> 6.2</td>\n",
        "      <td> 3.4</td>\n",
        "      <td> 5.4</td>\n",
        "      <td> 2.3</td>\n",
        "      <td> Iris-virginica</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>149</th>\n",
        "      <td> 5.9</td>\n",
        "      <td> 3.0</td>\n",
        "      <td> 5.1</td>\n",
        "      <td> 1.8</td>\n",
        "      <td> Iris-virginica</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "     sepal length in cm  sepal width in cm  petal length in cm  \\\n",
        "145                 6.7                3.0                 5.2   \n",
        "146                 6.3                2.5                 5.0   \n",
        "147                 6.5                3.0                 5.2   \n",
        "148                 6.2                3.4                 5.4   \n",
        "149                 5.9                3.0                 5.1   \n",
        "\n",
        "     petal width in cm     class label  \n",
        "145                2.3  Iris-virginica  \n",
        "146                1.9  Iris-virginica  \n",
        "147                2.0  Iris-virginica  \n",
        "148                2.3  Iris-virginica  \n",
        "149                1.8  Iris-virginica  "
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.preprocessing import LabelEncoder\n",
      "\n",
      "# convert pandas DataFrame to simple numpy arrays\n",
      "X = df[[0,1,2,3]].values \n",
      "y = df['class label'].values\n",
      "\n",
      "# convert class labels from strings to integers\n",
      "enc = LabelEncoder()\n",
      "label_encoder = enc.fit(y)\n",
      "y = label_encoder.transform(y)\n",
      "\n",
      "label_dict = {0: 'Setosa', 1: 'Versicolor', 2:'Virginica'}\n",
      "\n",
      "attr_dict = {0: 'sepal length', \n",
      "            1:  'sepal width', \n",
      "            2:  'petal length', \n",
      "            3:  'petal width'}"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Pie chart"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from matplotlib import pyplot as plt\n",
      "import numpy as np\n",
      "\n",
      "plt.pie(\n",
      "    [X[y==i].shape[0] for i in range(3)],\n",
      "    labels=[label_dict[i] for i in range(3)],\n",
      "    shadow=True,\n",
      "    colors=('yellowgreen', 'lightskyblue', 'gold'),\n",
      "    startangle=90,      # rotate conter-clockwise by 90 degrees\n",
      "    autopct='%1.1f%%',  # display fraction as percentage\n",
      "    )\n",
      "\n",
      "plt.legend(fancybox=True, loc='lower right')\n",
      "\n",
      "plt.title('Class distribution of the 3 different flower species')\n",
      "plt.axis('equal')     # plot pyplot as circle\n",
      "\n",
      "plt.tight_layout()\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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MD+g63XuOqGHrOriqOTbBanRMpy0cElRJm7bB469R+PpH+MxmXsvJ437UA/yEqBCSoERF\nau+IMc8GvevFY2raLriimrmyNeMdT7glqGJ7D8Dslymc+x662cSbOXncC+wyOi4R/iRBiYpwpiPG\n/KCmcW6fsTWjug6uZopyhN+jyMI1QRXbnwYPzqXoxXfwmU28nZPHLGCH0XGJ8CUJSgRTM0eMaY7J\npJ3b77qa9vMHVjMF+3ZDRgr3BFXs4GF45BWKnp2Pz6RqVLcBaUbHJcJP+JYWwkhVohym520O0+qL\nx9Ts9vDnbZ3dr6wR1skpklRLhIenY9v+LfYRlzDSYWeb1cp01ONLhAgYKTFEIFnMFm2CNUrbdlav\nhKtnf9La3nt0TbM1SnazcFQ1AZ67m6jf3ie6a0fujnayDbgEaZkRASKP2xCBkhLlNM2r09hea8Qd\n9R11moTuHR9EYLVoBF+9SvSXy4m+5k7mZ2azMiuH65DbKInTJKe24nRVsUeb3o+Jt3w+6s76jW6Z\n11ySU4TqeS6kfk707eM5L9rBH047DyLNfuI0SIISp2OgzW7a3KVvlUtmf9ra0bFnQqW9yFYEhs0G\nM8Zi3vg5jvPO5OYYJ+uBM4yOS1ROkqDEqahijzZ9EF/dOn/inCauK2+pZ4lyhM/1TOL01a4On7+M\n87m7aRDj5EdHFLMBm9FxicpFEpQ4WQNsdtOWzn0S+9/3QWt70w6GPzFdhChNgxGXoG38DMd5ZzIh\nNpp1QAej4xKVhyQoUV6J9mjTe/HVrAsmzmkSN+zWJEs4XmwrAq9WdfhiLs5n7qBRjJPljij+g9Sm\nRDlICSPKo7PNbtrUqXfigPs+bCW1JnHSNA1GXYq24TMcXTowKTaa34Ako+MSoU0SlDgezWzVJtmj\nTd9f80CDxKtuS5K+JnFaaleHr1/Fecd4mjvt/An0NjomEbokQYljiXXEmJdUq2N76M75LaPad403\nOh4RJjQNZlyD5bOXiEtw8YG/yU/OfMS/SIISZWltd5o2tr/A1ePO+S1t1erKpSwi8FLOgnWf4Ehu\nwcTYaJYC1YyOSYQWSVDiKJrGCJvDtGrI9Lo1xtzTQG5TJIKqZjX48b9EjxvCWU4H64AuRsckQoeU\nPqKYKcppmuOqZp1767xmUedeUlWuuBUVwmKBR6ZjW/AYVWOcfGM2MdLomERokAQlAOyOWPPnNZKi\nrrvr7Za2uk2dRscjIlD/C+HnBTiqxPO8I4q7kZvORjxJUBHOZCbRGWv+o2mHmG4zXmlujYmX+wcL\n47RuCr9/iLN+babHOHkdsBodkzCOJKgIZjLT0GY3bejcN7HpDY81MsvzmkQoqF0dfllIdMc2DIqN\n5msg1uiYhDGkRIpQZqt2ttVmWnvJuFpVhk6vZzKZpDVFhI7YaPhyLs7LetApxsmvQC2jYxIVTxJU\nBLLatP4Wi/bD1fc2cF40vIZkJhGSrFaY9wD26WNp5HSwGmhmdEyiYkmCijBRTtNgs0V7f8IzTawd\nusnFtyK0aRrcdQPWJ2dSxWnnJyRJRRRJUBEk2mW+SoO3JzzTxCr30xOVybWXY3r6dhIkSUUWSVAR\nIibePMrr1udNeKaJpUl7SU6i8hk7WJJUpJEEFQFi4s2jPEX6XElOorKTJBVZJEGFOUlOItxIkooc\nkqDCWGyiZZgkJxGOSiWp+kbHI4JDElSYSqxl611U4HvthscaS3ISYWnsYEz3TyI+2slSIMHoeETg\nSYIKQ7Ua2rvkZXk+HHZrPUuLTnIRvghfk0dhHjOQmrHRfAHIc2HCjCSoMJPU0tEs67B7SY+rati6\n9K0iF+GKsPfkTKJSOtI6xsnbSJkWVmRjhpHG7aKrpe93f5Oc4ortd21N2bYiIpjNsPBJnE3r09Np\n52Gj4xGBI4VYmGjZOdZ5aE/R13Ua22uOvKO+WdOk8iQih8MOX75CdKKL660WbjA6HhEYkqDCQHKK\ny7J/W8F7jhhzqxseb2wxWyQ5ichTNQG+fwOn08GjwMVGxyNOnySoSi45xaXt21bwn8J8X8/Jzzex\n2J1mo0MSwjCNk2DJizicdt4BGhodjzg9kqAquaxD7pGZae7J4x9uZI6vZjM6HCEMd04HuG8iztho\nlgB2o+MRp04SVCXW4uzYs9J2Fz1x8Zia5uYdZTi5EMUmj8J8QSeSYpw8b3Qs4tRJgqqkklNcNQ9s\nL3gtqYUjtvfoGrIdhShB0+C/D+OMj+UKs4mRRscjTo0UbJVQcorLvn97wRyfl2bXzm5okafhCvFv\ncTGw5CWcUVE8D7QxOh5x8iRBVTLJKS4t86B7SsYB94Abn2hsiY6zGB2SECGrbTN47i4c0Q4+A+KM\njkecnEhNULcDa4HVwO9Ap+NMOwqoVRFBlYe7yHdB2p7CWwdPqmOu39JpdDhChLxRl6IN7kXV2Ghe\nDtAivwV6lnpvErAFmHGSy6oNLCzHdIuJwAQbiQmqC9AX6AC0A7oDO48z/WjUTmS45BRX/YM7Cp+o\n19xpTxlUVdr1hCinOXdgj3HSD+gfgMW9DQwt9d4QYCSUeSeL4137sQe4vBzf2RfIKld0YSQSE1RN\nIA1w+18fBvYCZwLfAyuBz/3TDQY6Am8Bv6GGrHb3/70GeAUoHtv9IPAXqlb2iP+9/sDP/um/Aqqf\natDJKa7orEPue3IyPa2vvre+Ve4UIUT5xUTD/EdxOh28zunf+fx9VMIobl9vgDqJbQI843/vNeAF\n1PH/ENDY//ca4H4gu8S8f/r/Hg18AHwGbPTPV2wbkOj/eySqnPkDeN3/XsDKmlASiQnqS6AesAF4\nFkgBrKgdaxAqIc0D/gO8h0pYw4Az/PPPA64AklE76PWoHedSoDWqVnaff9ofgM7+ed/h5Kv/gOp3\n8nr0Kw/uKrxs6PS6FrneSYiTd0EnGHkJzthoXjrNRR0GfgH6+F8PRR3feqnpaqNabKYBTwFPoMqN\n47XYtEOVL21RtbI6/veLl90a1UVxIdAe1bQIASprQk0kJqhcVG3pOuAgamNeh9rwX6P6pG7nyI4B\nUFxdaQ5sBVL9r19HJbhMoABVoxoI5Ps/r4dKiGtQO2nrU4y59f7tBROSWjjtXfpVOcVFCCEenUFU\nrJM+nH5TX8lmviH+1yXpqL6l4sTSmSN9TaWnLekbVO2qEFjH0Q9j1IBuwLuoJAmQ7v8/UGVNSInE\nBAXgA5YCs4CbUDWnv1D9Uh1QZzm9S0xf+syoWHHi8qIGWrwH9EM1EYKqlT3tX944TuGq9uQUV0zW\nIfdtORmelmPukaY9IU5HtBPefgyn087rHGkyOxUfo5r7OwBO1Ilt6YMz7xSWW1jiby9HmhGL6WV8\nDwSgrAlFkZigmgFNS7zuAKwHqqLOckA1+bXy/53NkdEzG1Btxo39r0eg+q2igXhU2/EUVDUd/3x7\n/H+PPtlA/U17Qw/uKux35Yx60rQnRACknAWjB552U18O8B2qyX9+Oab/GdWnDf8eYFFeOmoE4eUc\nSa7F/WmnVdaEqkhMUDGoDsziAQ0tgDtRG/0hVMfj76i2YzjS2fmb//UYVFV9DeDxfxYHfOJf3g/A\nZP+0s/zTrkQ1Jx6rJnYsbfbvKLixXnOnvXPf0znZE0KU9PA0oqKd9Obfw8VPxtuovqLiJjudo4/x\nkn9PQp28/oE6wc0sY7rS85dlHap/fKl/WY/535/F6ZU1IUnai0JUcoorJj/H+9T29XkjZ73T0lK1\njjzNOtRt/zuXOeM3kPGL0ZGI8vjkOxg2jV05eTQGioL8dQ6O9E0PRfVbDQzyd1Z6kViDqiwuP7ir\n8KKLrqxukuQkROD1uwA6tSUhyvpPi0cwnYmq8awGxgNTK+A7Kz1JUCEoOcXVNONA0RCvR6918dXy\n6HYhgkHT4IVZRJvM3EXwL8b/ETUsvB1wAequE+IEpPALMckpLovPp488tLfo7Ctn1LNGOWQTCREs\nTRvA9UOxxEb/c3G9CCFS+oWecw/uLLywSi2b88yL4o2ORYiwd9cN2DSNgagajgghkqBCSHKKK9bj\n9g3POOjuOHxmkk2ueRIi+FyxMHsyUXExvIAMHAspkqBCy8UHdhR2bNU51tywTbTRsQgRMa67AlNC\nHG04+gJ9YTBJUCEiOcVV01Pk6591yNPmspvqyEOehKhAFgs8PI3ouBgeQWpRIUMSVOgYvH9nYfM2\n58ZRo35Y3KVEiEplUE9IiKM+0MPoWIQiCSoEJKe4Gnjcvs7ZhzztBlxfy2p0PEJEIrMZHphMjNSi\nQockqNBwyYEdhU1bdY7VajV0GB2LEBFryMUQF0Nj1OMshMEkQRksOcWV5HH7OmUf9rQbcH1tqT0J\nYSCzGf4zkWhXTJlPxhUVTBKU8fof2FHYqNmZMaY6TaT2JITRhvUDp4MWQFejY4l0kqAMlJziquf1\n6GdnH/accemNUnsSIhRYLHD/JJyu2KMeuS4MIAnKWH3TdhfWS2rp1Oo1cxodixDCb0R/NE0jGWhj\ndCyRTBKUQZJTXHWAs3OzvG16jqguTyIUIoRYrXDTMKwxTiYZHUskkwRlnF5Zh9xxGrjanusyOhYh\nRCnjhmDxeBkGxBodS6SSBGWA5BRXHHBOxkF3s25XVrOYzHLJhRChpm5N6HY2Pk1juNGxRCpJUMY4\ny13os+dmelqcP7CqZCchQtSU0UTHRjMDuXDXEJKgKlhyissM9Dmws7B223NdelyiDN4TIlR16wyu\nGKoB5xodSySSBFXxWui6npiX7e140fDqkp2ECGGaBlPGEO2KZZrRsUQiSVAVr0fGAXdCjMsc1bid\nPFJDiFA3+lK0wiJ6A1WMjiXSSIKqQMkprmpAu+x0T4PzB1a1ygMJhQh98XHQ4xw8wGVGxxJpJEFV\nrHN9Pl3Py/K27NgjQbKTEJXEyAFEJ8RxjdFxRBp5MF4F8Q+O6HZ4X5Gzah2bXrVOlNEhlcld6OOR\nazficet43Trturq47OY6LHpuD6uXZYIGMS4Lo2fVJ7GmrVzzArz/9G7++imLes0cjLm3AQA/LzlE\nboaX7sOqV/TPFOVQUAhdR0JhERS5YUA3mD0F7nwKPv5O9c9UiYfXHoB6tco3L8Atj8LnP0L7FvD6\ng+q9/34MhzJg4siK/Y3l1ScF8gtpB1QHDhgdT6SQGlTFaQjE5GV5W5/Tv0rI3jnCGmVi6ovNuOvt\nlty1oCUbVmaz6fcceo2qwV0LWnLX2y1pf4GLT1/aW655U//IIS/by46/87hrQUvMVo3dqfkUFfj4\n6ZPDXDikmgG/UpSHPQq+ew3++BDWfATfrYAfV8GMa2D1R+r9S7vDPc+Wb97lv0FmNvy+Xs1vs8La\njZBfAK99CDeF8NVGTgf0ScEDDDI6lkgiCaridPR5dT0309M81Jv3ohxqt/C4dXw+iHaZsUeb//m8\nMM9HTHzZle/S8zrjzJhM4PXo6LpOUYEPs0Xjyzf3021oNeQi5dDm9N9gv8gNXh8kuiC2xNienDyo\nmlC+eRPiwGQCtwd0HfIK1C2FHn0VJoxQj7oIZf5mvmuNjiOSSBNfBUhOcVmA8w7tLYqt2cDuK900\nFmp8Pp37h//NwV2FdB1cldqNVEnz4bO7+XnxYWx2EzNfb35S87Y9z8X9w/+mZadY7NFmtv2VS79r\na5W5DBE6fD44YxBs3gHXD4VWTdT7tz8Jb34MTjv8vODk5u2Tot6/qAvERcMvf8KdN1TM7zkdvc+H\nwiJaAbWBPUbHEwnk9LUCJKe4mgO37Fif17nXqBotu19ZOfpc8rK9PHXTJi67uQ7NOx65Hdln8/ax\nf3sBo2c1OOl5Ad64bzsXXlGNbevyWL8iizpNHfQdW/mT1fa/c5kzfgMZvxgdSeBlZkOva+DBqXBB\npyPvP/gybNgK8x44+XkBrr0TbhwGK9fCVz9BcnO4fXxwfkMgDJ1K3rufMVPXedroWCKBNPFVjLN8\nPt2bm+VpcuZF8UbHUm7OWDNtz3OxfV3eUe936p3ItlLvlXfeHX+r19WT7Pz2TQbXPdiIg7uKOLCz\nILDBi4ByxULfriqRlDSsL/z656nN+/s69X+zBvDel/DOE7B5J6RuD1jYATe8H874OEYZHUekkAQV\nZMkpLitwTmaa2+qqZvXFVwvt5r3sdA952R4Aigp8rF+RTb0WjqMSyOqlGdRr/u/nVx1r3pI+fmEP\nA66vjdf/YBhCAAAgAElEQVTjw+fTATBpUFSgB+sniVOUlg4ZWerv/AJVw+nQ8ugEsuhb9V555y3p\nrmfgvgn+Piqves+kQX5h4H9LoFzYCXLzaAPIVfYVQPqggq8JYM9J99TvcOExRhaEkMw0N/Pu3oau\ng+7T6dy3Ci07xfHCjC3s21aAyaxRrW4Uw2fWAyDjYBFv3LeDCU83ITOtiHl3b//XvMX++D6DBq2i\ncVVVd3iq18zBPUPWUbeZk7pN5XH3oWbvQRh1K/h01Z804hLo3gUGT1TNemYzNK4Hz9+tpt9zQDXZ\nLX5R/T165r/nLbboGzirDdT0D+Js3xKSB0C75tC2WcX/1vKKiYY2Tcn/bR3nA58bHU+4kz6oIEtO\ncV0O9Nz2V26/UXfXrynPfgpf4dwHJY6491l8D83l2bwCJhgdS7iTJr4gSk5xaUBHT5EvJy/bW63Z\nGTFGhySEOE09z8VktdLP6DgigSSo4EoAqqUfcFev28ThiXKE+IUeQogT6tgGitzUBmoYHUu4kwQV\nXI0A8nO8TZNTXKE9OkIIUS4WC5x/JkXARUbHEu4kQQVXe6DQXehr1rpLnPT3CREmBnQjNi6G/kbH\nEe4kQQVJcorLBLQrzPcVFBX4Yuq3/PewbCFE5dStM/h8dDM6jnAnCSp4agHR2YfdVWs3cnjknnNC\nhI9mDcDtwYU8xDCoJEEFT2OAvBxv7cbto+XR7kKEEZMJWjchHzjD6FjCmSSo4GkF5KNTv2HraFnP\nQoSZ887AocGZRscRzqTgDJ6mQHZhnq+W9D8JEX46JWOLd9HV6DjCmSSoIEhOccUACYX5Xs3j9kVV\nTwrNp+cKIU7dma3B45YmvmCSBBUctQA9+7CnVq1GDo/JJAMkhAg3zRpAkYd4INHoWMKVJKjgqANo\n+Tne2k3aRYf8DWKFECfPZIJWjWWgRDBJggqO5qgBEvXqt3TK/Y2ECFOd2+EA2hkdR7iSBBUcTYEc\nj0evUr2e9D8JEa5aNMIW46SMJ2KJQJAEFWDJKa5o1MV7+YV5vtiqdSRBCRGuGtWFKButjI4jXEmC\nCryqgNdd5LP5vLolrop0QQkRrhrVA4+H+kbHEa4kQQVeAqDlZXsTXNWsbk2TEXxChKsGdSAnn+pI\nWRoUslIDLxEwFeZ6E6pJ854QYc3pgBgnbqC20bGEI0lQgVcHKCws8MXXbBAl7XtChLmkWhQBDY2O\nIxxJggq82kA+PqrVSLLLEHMhwlzzhpjxP5xUBJYkqMCrCRToULVKbXmIrhDhrnkDnJomCSoYJEEF\nUHKKywq4gEKfV3fEJkgLnxDhrloipmgHNY2OIxxJggqseMAH4PXodmectPAJEe4S4sBmpbrRcYQj\nSVCBFVv8h6dItzlipAYlRLhLcIGmUdXoOMKRJKjAcgDouo67yGeLlhqUEGEvIQ50nQSj4whHkqAC\nyw5oXo9u1TRNt0bJ6hUi3MXHgteHy+g4wpGUoIHlAEzuQt0e5TR5jQ5GCBF8CS5wu48074vAkQQV\nWE5Adxf6HPZos8/oYIQQwZcQB4Vuoo2OIxxJggqsOMDjcet2Z4xZNzoYIUTwOewAaPj7oEXgSIIK\nrDjA4/PqFqtNbhIrRCTQNLBa8AJy880AkwQVWLGAB9BMZrmNuRCRwqShAzJsN8AkQQWWE/DoOiZN\ndlUhIobJJAkqGCRBBZYZdRmUZjJJBSrS7NlcgNsDWTlGRyIqmiSo4JAEFViyPiNQ1uEiHrl2M2/e\nv5/o+Op6Ujd4eSF45UKDSCMDowJMCtTAMgG6pqH7fLKvhjufz8f8B3dw2yVbsMadr0/9cC1TFu/S\nek5/lRlP2PXW/eHHVUZHKSqCz4eG/z6cInAkQQVWcYLy6XL2HNb+9+khpvZI1f/6NZExcxYz4vEP\ntPhaSQCc0e8qpn+VoSV0up5e12pceiP6jj0GByyCyp+g5KgPMElQgeVDXQ+h+7y6VKHC0M6Nedw5\nKFV/+5EMet78qDZp4WoadDj3X9OZTCYG3PIUkz/ZydqMzrToC3c8iZ6Xb0DQIuh8uiSoYJAEFVg+\n1BBzT1GhT0ZJhJG8HA9P3bxFf3D0dpqcM0q7ZclmOg28GpP5+P3iMYnVuWbuMm3kc9/z8qeqf2rB\nYpDTl/Ch6+D2YAYKjI4l3EiCCiwfgMWm5efnyMlUOPD5fHw4Zze3XLyZAk8HJryzkn7THsMeE3dS\ny2nQ/hwmf7LLdM51TzLuXqt+xiD0VX8FKWhRofILQFMDJCRBBZgkqMDyAprVZiooyPXJuq3kfv82\nnem9N+v/+zyKYY+8yzUvfKFVTWp6Wss8Z+gNTP8yXdMaXUnKVTB8Ovq+gwEKWBgiPQtsNnKNjiMc\nSSEaWHmAxRql5RfkeeVphZXUgZ0F3DM0VX/l7oN0HTNLm/bRepp16RGw5VtsNq6473Xt5vc3s3xr\nMo17wYMvoxcWBewrRAVKzwSrhWyj4whHkqACKxuwWKwmD6AXFcio08qkqMDHCzO26vcM2Uqt1oOY\n8clGzh12M2arNSjfF1+rHuPfXKkNeeRTHnsrnkY94JPvpH+qsknPAouZDKPjCEeSoAIrC7AAWG0m\nd1629ENVFp+/vo9pvTZx8EBTbnjjRwbd9aIWnVAxT/Fudk5Ppn52QGs1aBbDZ5g5/yr0dakV8tUi\nANKzACRBBYMkqMD6J0FZbFpRXrbH4HDEiaz/JYsZfTbpX77lZfA9r3H9az9oNZu2NSSW7tfexrQv\nDpHp6k/Hy2Hc3eiHpdgLeelZ4NNJMzqOcCQJKrDyiv8wW7SCvCypQYWq9P1FPDBqsz5n8h7OGjRN\nm/HpJlpfOADN4JvQ2xxOhj/2vnb9/D9Z/FsTvcFFMOe/6B451wlZ6ZngdnPA6DjCkSSowMrHfz8u\nk1nLy06XUiXUeDw+XrtnG3dctpm4Oj2Ztmg93a6ZiTXKbnRoR6nWoDk3vbvO1P+ut7nrhWiaXQzf\n/M/oqERZDqbjy8tnr9FxhCNJUIFVwJEbRqYd2ivDskLJ9wsPMrVHqr5lXW2uffkbrpz9lhZXrZbR\nYR1X2x6DmPbFIa1utykMuEmj1zXom3cYHZUo6e8t5Pl0thgdRziSBBVY/1yoZzKRtn97gbTxhYAt\nf+Zw24BU30fP59J/xhxtwjurqNe6o9FhlZvJZKLPpAeZsmQ/230X0nYATHsYPVuuvAkJG7fhBUlQ\nwSAJKrCyiv+wOUzp+7YWSBufgbLTPTw6bov+2LidtO4x3nTLks106DPM8H6mU+WMi2f0s19oY19d\nwVvf1qF+N3j1A/DJ1QyG2rEXG5KggkISVGBl4H9omd1pTk/bI018RvD5fCx4dCcz+6dicpzD5PdX\n0/vm+7E5oo0OLSDqtOjAxA+3ahdOeokpD0fpbS5B/9/vRkcVmXLzIC8fK7DP6FjCkSSoAFqzLNON\nSlJRjlhzRsZBt1WXqy4r1M9LDjO152Z99Y9xjHr6Y0Y99ZGWULuB0WEFxVmXjmbaV+labPtrtYvG\nagyagL5LiskKtXUXRDvYjzwLKigkQQXePsButZmKLFbNk5kmrXwVYXdqHncNTtXfevAwPW54UJvy\nwVoanZlidFhBZ7FYGHj7s0xctJ0/0s6i2cVw9zPo+XLb0gqxZRdYLGwzOo5wJQkq8PYADoAohykr\nbXehweGEt4I8D89M3KI/MHIbDTsN125ZksrZg6494WMwwk1c1Zpc+8py7apnvuaFj6pSvzss/Fxu\nmxRsW3dBYRHrjI4jXEmCCrzdQBSAyaIdOrBDElQw+Hw+Fj2/h+m9N5Nb0I6b3/6VS255CkdsvNGh\nGarRmSlM/nSP1mnMo4y9y8JZl6P/sd7oqMLX+s0U5uQhazhIJEEF3mGK26M1dm5blytDzQNszQ8Z\nzLh4s/7jJxaufPBtrn3pK61ag+ZGhxVSzhs+gRlfZeBJuoJzhsHIW9EPHDI6qvDz82oKgNVGxxGu\nJEEFXjr+i3WdseY9m9fkSidUgBzcXcB9w1L1l2bu57wRd2rTP95A83N7Gx1WyLLYbAz9z3+1m9/b\nxNKNrWnUEx55Bb1IBpcGhNcLf2/FCfxmdCzhShJU4KXhH2oel2jdu3drgdXnlY6A01FU4OOlmVv1\nWVdspVqzAUz/dCPnj5gUtMdghJuE2vW5/q3ftcGzF/HQ63E06glLlhodVeW3YSvYrBxG7mQeNJKg\nAmzNssxc4BDgsNlNBdYoU/7+HTKk6lR9+cZ+pvVOZd/uRlz/2jIuv+cVLSahmtFhVUotzr+YaV+k\naS0uvZMhU02kjEBfv9noqCqvVX+Bxcwqo+MIZ5KggiMViAGIcpj2bl+fd4LJRWkbVmZzS79U/bM3\nixh011xueOMnrVazdkaHFRYuGncnU79I41BMH84cDDfci56eaXRUlc+KNRRlZCF10SCSBBUcf+Mf\nao7Gtq1/5slAiXLKOFjEg2M2609P3MUZAyZyy6eptOl+WaW9PVGosjtjGPH4R9q4N/9g0YqGev3u\n8PwC1a8iymf5b+TrSA0qmCRBBcceigdKxJj3bl6TIwMlTsDj8fHGfdu4/dLNOKt3Z+pH67joujs1\nq91hdGhhrUbjVtz83gZT3zv+y+3POPXmF8N3K4yOKvR5vbB+iwyQCDZJUMGxB9AA4qpY9+zdUmDx\nemSgxLH88GEa03qm6pv+rMk1L3zJ8IcXaK7qdYwOK6K063UF0748rNXqOon+N2j0GYe+dZfRUYWu\nv7f8M0Ai3ehYwpkkqCBYsywzB7Xj2m12U0GU05y9bZ08G6G0betyuf3SVN97T2fRZ/KT2oR3fiMp\n+Wyjw4pYJpOJvlMeZsrivWwqSKF1f5jxKHqO7Lr/8u0K0DS+MTqOcCcJKng2AbEAFpu2Yd3PWVKF\n8svJ9PD49Vv0R67ZTssLrzHdsmQLZ14yEpNJdsdQ4HQlMvaFr7WrX/6JN76spdfvDq8vksd6lPTx\nt2Rn5fCJ0XGEOykRgmc9/oESzljzptVLMyP+8kifz8fCx3dxa79UfNZOTFr4BxdPepAoZ4zRoYky\n1G3dkUmLtptSbnqOibNtertL0VfIPRNwu2H5b9hAalDBJgkqeP65wiS+unXHns0FloIIvuvRr18d\nZlqvzfqqpdGMfOIjxjzzqZZYt5HRYYlyOHvQNUz7KkOztx6jdRujcfkk9D0HjI7KOL/8CVE2dgMH\njY4l3EmCCp49QD5gs1hNbqfLfGDjbzlGx1Th9m7N5+4rUn1v3HeIbtfdr0354C8an3WB0WGJk2Sx\nWBh014tM/Ggrq/aeQdNecO9z6AUReC/kL5fjLSziY6PjiASSoIJkzbJMH/A7kABgNmvr1y7PjJgq\nVEGeh2cnb9XvH76NpA5DtVsWp9LliusxWyxGhyZOQ1y12lz32s/a8Ke/Ys7CRBp0h/e/jKzHeiz6\nltz8QpYYHUckkAQVXKvxP3ojNsGy+c8fsyIiQX3ysnoMRmZ2K25662cuvW2O5ohLMDosEUCNOnZl\nypJ92hlXPciYOyycPQR9zQajowq+rBxYvxk78KPRsUQCSVDBtZni66GqWvdmHXZrh/eF71iJtcsz\nmd57k770AxNDH3iL6+Z+q1Vv1NLosEQQpYyawrQvDlNUaxCdh8KY2/ClhfGVQd/+DDFOVqOa70WQ\nSYIKrnTgAOA0mTQ92mXZsOrr9LBrDEnbU8j9V6XqL9yyly7DZmrTP9lIi/P7yO2JIoTNbmfog29r\nN76znm/WtdAaXgSPv4budhsdWeD99xPy0rN4zeg4IoWUIEGWnOK6HOgJ7E7bXdhY07ji7nda2YyO\nKxA8RT5eu3e7/vt3BVqb7pfpfSY/pMUkVjc6LGGwdUs/YfF/RuvR1mztpXug9/lGRxQY+QWQ2JnC\ngkLqA/uNjicSSA0q+NbiX8+JNW1bD+4qIm1P5R/69PX8/UztmcqubQ208a9+zxX3zZPkJABo1bU/\nUz8/qDXtdxuXTzbRbTT6xq1GR3X6PlsGjijWIMmpwkiCCr5UoBCwmcyazxln/nvll5W3mW/T79nc\n2j/Vt/iVQi69/UVu+u/P1G7RweiwRIgxmUz0uH4WUz8/yF5bL9oPhAn/Qc/MNjqyU/f6InLTs5hr\ndByRRJr4KkByimsEcB6wN21PYUOfRx9y7/uto4yO62RkHS7i+ek79R1/F2nnj5isdx09Q7M5nEaH\nJSqJvalree+WgXruwe3aQ9PgmsFgNhsdVfnl5kHVLhQWFFEX9dRsUQGkBlUxfgGsAIk1bdvT97s5\nsLNyPGXX5/Px1uzt3HbJFuwJFzDlg7X0uH6WJCdxUmo1acPN72/Set36Orc+Zddb9oVlvxodVfl9\n+j047KxCklOFkgRVMTYDeYDNZNJ8jljzul+/CP1mvuUfpzG1x2Z93aqqjHl2CVc9tlCLr1nP6LBE\nJdahz5VM/ypDq3bOTfQZr3HJDejbdxsd1Ym99hE50rxX8aSJr4Ikp7iGAt2B3Yf3FSXlZ3uHP/BJ\na1soDsXe8XceL922R886rGl9Jz/MGZeMkjuNi4DLSU/jnVsv13f/uVybOAL9jvFo0SFYMT+UDnUv\noKCgiNrI858qlJQ6FWcVYAZIqGHdkZ/rLQi1e/PlZXl48qYt+kNXb6fZ+WO0WxZvpuOlYyQ5iaCI\nSajK2Be/00a/+APzPqupJ3WD+Z+G3m2TXv0An83Gp0hyqnCVqJuycqtR354JdAN0TdM8+TleX9qu\nogadeicavg18Ph8fPrOHl2/fT0yNTox66iOtfe+hWGyVahyHqKRcNerS+crJmslZjWcf+1p/Z4mP\njm3QaofAVQs+H1wxmbxDGVwPyDOGK5icGleQNcsyvcC3QFWAavWiVq9bkaVlHDT2cvtV36Qzvfdm\nfcVXdq567D3GPveZVjWpiaExicjU5YrxTP86UzM3G6l1HQlDp6LvNfixHl/9BHn57AVWGBtJZJIE\nVbF+QtVaNVuUqTDaZfnrhw8OGvKc0v3bC5g1NNU3b9ZBLrj6Hm3qR+tpcnZ3I0IR4h8Wi4XLZ81l\nwgdbWbGjHU16w39eQC806BaWj80jJyuXh4AQa3iMDKHXQx/mklNck4CmwMHMNHeNtN2FYx/9Mtlq\ntlTMpijM9/HqXdv1tT8VaO37DNN73XS/Fh1fpUK+W4iTtWnF13x8z3Dd6k3XnrsLBnSHihpXtH03\ntOhLXkEh1YHcivlWUZLUoCreV4ATwFXVut9k1g6vWZZZIV+85NV9TO+dyqG05tzwxnIuu+N5SU4i\npDU9+yKmLtmvJQ+9n5EzzZwzDH3txor57ucX4DabeANJToaRGlQFS05xmYFHAA+Qt3drQdvYBEu/\nW+c1D9oNZNf9nMlr9xzUvT6nduntz9IypZ/caVxUOkUFBbx350g9dflH2vB+6A9OQasSpMeMFRZB\njXPJz8zhDODv4HyLOBGpQVUw/2CJJfgHS1SvF7Vud2q+d9u6wJ+kHd5XxH9GbtafnbqXs6+Yrs34\ndBOtuvaX5CQqJZvdzrBH3tWuf/svPl/TVG9wETz5RnAe6zHvA3TUpSGSnAwkJZUBklNcccDjwF7A\nuzs1/+waSVHdJz3b1BqI5XuKfLxx/w591Tf5WqsLLtH7TnlEi61aMxCLFiJkrP3mQz57cKweG5Wj\nvXwv9Dg3MMstKoJ6F5J34DAXAf8LzFLFqZAalAHWLMvMQo3oqwFQo37Uqs1rcr07/s477WV/9+5B\npvZK1bdvqqtdN/dbhj7wpiQnEZbadB/I1C/StIa9ZzBwgokeV6Onbj/95b6xCL3QzRokORlOalAG\nSU5x1QHuB3YCvt2b8rvUbmS/8Oanm5xSLWrz6hzm3rnPl59rNfWf8QTteg2RpjwRMQpysnjn1iH6\n9t++0cZdgX7PzWhxMSe/HLcb6nUjb38avYEfAh6oOClSgzLImmWZu1F3Oa8OUKNB1MqNv+X4dm3K\nP6nlZKd7eOS6zfrj1+8kufcNplsWp9K+91BJTiKi2GPiGDXnM+2aeb/yzrJ61O8Gc99Td4I4GfMX\nQ0EB65DkFBIMv81OJKtR374f6AFkmcyatyDPp+/dWlCvU68T3/7I5/Ox4JGdzJu1n6oNL2DUU4u0\nNt0HYraGxdPkhTglsVVrcvaQiZq9an1efPxL/Y2PPHRoiZZU68TzejxwyQ3kHkznamBbsGMVJyY1\nKAOtWZa5EzVSqLgv6te/f8nW92w5fi3q5yWHmdpjs/7nzwmMfuZTRj7xgZZQu34FRCxE5dCx/0im\nf52hxXccr/W8RmPgTeg79x5/nnc+g5xcNgLfV0SM4sSkBmWwErWoTLNZ8xbkerXdqfl1y7qJ7M6N\neTx63XZ95Vf5Wq8JD2mD7nqJxDoNKjxmISoDTdNocd7FnDlwHN9+spzZT+7WCgrRO7dDs5bq6S0q\ngv6q9jQW2GJIwOJfpKMiBCSnuCYArYB9HrfPumVN7uSbn2riaNpB9fLm5XiYe9sOfcPKQu2sy8bS\nY/zd2GNdhsYsRCjL3L+Ld6ZfzvZ1v+M72Y4oEWi6w+HI1jTtxby8vDuBwvLOKE18oeFjwA5oFqvJ\nHZto/eyt2TuKvF4fHz23m1v6bCa/qD03L/iV/tMfl+QkxAm8M/1yxl55Gfn5+ei6Lv8M/Od2u7W1\na9fGpaSk3Ohyub4+me0oNagQkJzi0oCbgDbAXl3XtdQ/cm40mZ2JFnuCNvD252h+bi+DoxSi8ri9\no538/HxsNhk0FCry8/OJiYnx+Xy+cnctSQ0qBKxZlqkDCwErYNE0TY9NtP9SmO/RJi5YKclJiJPk\n8/kkOYUYh8OBz+c7qZwjCSpErFmWuQ/4QseU5KV6p6r12zWIjk/c992rD3mNjk0IIYwgCSq0LPHS\nsJ6POnE6cZ8n1mn81s/vvuA7uL2Cni8ghBAhRBJUCFmzLDNbp/p9EJ0Klix7TFxOdEK17z+4d7xb\n1+WBnkKcqoQEF5qmBe1fQkL5By79+OOPnHPOOcTHx1OlShXOO+88Vq5cecL5TCYTW7ZE1gh4i9EB\niNLMy4ALgUTgcI3GLX/e+ecvHX796NUqnQaOlUEtQpyCjIwsXlp1RtCWf92Zv5VruqysLPr168eL\nL77IFVdcQWFhIT/88ANRUVHlmj/STlSlBhVi1i9b7AHeAOIAk8lk9iXWbbxw8WPTvRl7dxgcnRDi\ndGzcuBFN0xgyRN3M2W6306NHD9q2bQvAq6++SqtWrUhMTKR3797s2KGO+ZSUFADatWtHbGwsCxcu\nBODll1+madOmVKlShQEDBrB375HbZUyePJkaNWrgcrlITk7mr7/+AmDx4sV06NABl8tFUlIS99xz\nT0WugpMiCSoErV+2eBPqZpW1AWKrVD/gdCX++M4do6WpT4hKrHnz5pjNZkaPHs3nn39Oenr6P58t\nWrSI2bNn8+GHH5KWlsb555/PlVdeCcCyZcsAWLNmDdnZ2Vx++eV8++233HbbbSxcuJC9e/dSv359\nhg4dCsAXX3zBDz/8wKZNm8jMzGThwoVUqVIFgJiYGP773/+SmZnJ4sWLef7551m0aFEFr4nykQQV\nut4FcoFYgBqNW/1wYMu6zF8+mCsZSohKKjY2lh9//BFN07j22mupXr06AwYM4MCBA7zwwgvMnDmT\n5s2bYzKZmDlzJn/88Qc7d+4sc1lvvfUWY8eOpX379thsNmbPns3//vc/duzYgc1mIzs7m/Xr1+Pz\n+WjevDk1a6rnwnXt2pXWrVsD0LZtW4YOHcrSpUsrbB2cDElQIWr9ssXZwCuoR8ObTCazr0q9xu8u\neeIWb/qeADyVTRyTu7CAZ0eey9NDO/LEoGQ+f+Z2AL587m6eGnImTw/tyNxxvcjY9++C41jzAnz2\n1EyeGnIm79519T/v/b74LZbPfyb4P0qEjBYtWjBv3jx27tzJ2rVr2bNnD5MmTWLHjh1MnDiRhIQE\nEhIS/qnx7N69u8zlFNeaikVHR1OlShV2797NhRdeyE033cSNN95IjRo1GDduHNnZ2QCsWLGCCy+8\nkOrVqxMfH8+LL77IoUOHgv/DT4EkqND2J7AUqAMQk1j9oNNV5Qdp6gsua5Sda1/8igkLVjLhnd/Y\n8utStv2+nK6jpjHxnVVMWLCSVhdewjcv3V++ef/4iYLsTPZsWM3Ed1ZhsdrYl7oWd0E+qz55ky5D\nbjDgV4pQ0Lx5c0aNGsXatWtJSkripZdeIj09/Z9/ubm5dO7cucx5a9euzbZt2/55nZuby6FDh6hT\npw4AN998MytXrmTdunVs3LiRRx55BIBhw4Zx6aWXsmvXLjIyMhg/fnzI3q9QElQIW79ssY5q6svh\nn6a+lj8e3Lo+Y/n8ZyRDBZHN4QTA6y7C5/PicCUQFR37z+dFeTlEx1cp37xx8WgmEz6PG13XKSrI\nw2yxsuzNxznnyhsxmeWhApFiw4YNPP744//Uinbu3Mnbb79Nly5dGDduHA888ADr1q0D+KfvqFiN\nGjXYvHnzP6+vvPJK5s2bx+rVqyksLOS2226jc+fOJCUlsXLlSlasWIHb7cbpdGK32zH797OcnBwS\nEhKw2Wz88ssvzJ8/P2QfcCrDzEPc+mWLc1qm9J0LTAdyTSazr1qD5m9/9dzd45Panm1LSj7b6BDD\nks/nY86wThzatYXOg6+jRqNWAHwx505+XzIfm93B9a//eFLzNj+3N88M60STTt2Jio5j19pf6X7t\n7WUuQwRWfHxcuYeCn+ryyyM2NpYVK1bw+OOPk5GRQXx8PP379+eRRx4hJiaGnJwchg4dyvbt23G5\nXPTs2ZPLL78cgFmzZjFq1Cjy8/N5+eWXGTx4MPfddx+DBg0iPT2dc889lwULFgBqOPvkyZPZsmUL\ndrud3r17M336dACee+45pk6dyk033UTXrl0ZMmQIGRkZwVkxpyk006Y4SsuUvhowGjgP2AmQtjO1\neV7G4UGT31ttjU6oamR4Ya0gO5NXb+xL7wn/oVHHrv+8//28h0nbtpHB98w96XkBPrhvPJ2vGM/u\ndctMe44AABlZSURBVL+x6eevqdW0LRdeMzNovyPSzDzDFnHXDFUG/ppaufOONPFVAv6mvoVAOuoC\nXqrWa7LBYota9db0IW6fV27XFyz2WBfNz7+YXetWHfV++95D2bXu+Ff/H2vePX//DkDVpGb8+fUH\nDHtoPod2bSFtR2pggxeikpMEVUmsX7Y4B3gGiAaiAGo2bfPVgS3rD3794n2SoQIoNz2N/GzV5OEu\nyCf152+o3bz9UQlk3dJPqNW8fbnnLemr5++hx/Wz8HqK0H1q02kmE57C/GD9JCEqJemDqkTWL1u8\nvWVK39eBa4CtJpPZV71xq7eXz3/6xgbtzzE3O6en0SGGhey0vSy8eyy6z4fu89Gh73CanN2Nt6YP\n4eD2jZhMZhLrNuLS2+YAkHVwDx/cdz2jn15E1sE9vDfrmn/NW2zd9x9Tt3VHYquqa1JqNWvHU1ec\nQc1mydRs2taQ3ytEqJI+qErG3x81BtUftQMgfe+O+hl7d1w18Z1VlvhaSYbGJ4TRNv/6PXPH9ZQ+\nqBAkfVBhzt8fNR/YDVQDSKiVtN3pSvxu7vhe7uLmJSEi0YEt63lzyuAio+MQgSEJqhJav2xxAfAc\n6gm8ToDqjVr+5C4sWPPahAFuj1uOTxF5stP28fK4Xm5PYf6NRsciAkMSVCW1ftnivcCLQE3UY+Kp\n3Sx58eFdW3YsvHOMR5o3RCQpzMth7vjeHndh3hyvx33ssf+iUpEEVYmtX7Z4FepOE0mASTOZ9FrN\nkt9JXfHN4S+euSM0710iRIB5PR7enDLIk5229/PCnKypRscjAkcSVOW3GPgGqA9gsdrcNZu2ff3n\n917MW/HeS1KNEmFN13U+vP96756//1ibn5V+GSD7PNCnTx/efPPN01rG6NGjufPOOwMU0amRBFXJ\nlRg08QdQFyDKGZNXo1GreUuevLXo7x8/MzQ+IYLpu7mzfX99+9H+/Kz0FMB9rOniExKD+sj3+ITE\ncsXbu3dv7r777n+9v2jRImrVqhWwm7YuWbKEESNGnNYyin+bkWSYeZhomdLXCdwC1AD2AWTu31U3\nbefmkSMee89a8locIcLB8vlz9C+fuyvbXZDXUvf59pT6WC/ZD6tpGrN/C97gofLeWmnBggXcfvvt\nR930FWDw4ME0bNjwnzuOn4jH48FiCe5lrGPGjKFu3brcd999JzXf8WKTYeYRav2yxXnAU0AeUAXA\nVaPurip1Gr715tTB7tQV3xoanxCBtHz+HP2r/7d379FRVucex78zk0xmkkySSUIgd+4wkTuI1EgE\ntIqGi1RuDUL0aFcp4FE4PSDaCp7Wy7JYtbQiFS0ClqK0cpsKUgUGBQQEAWEgBiGBXEjI5Da5zu38\n8U5CIBADJuTC81kryzc77/vOTlzJj71nv/tZtqjM7XQMuko4tVrjx4+noKCA3bt317YVFhZiNpuZ\nMWMGr7zyCt27dyc8PJwpU6bUVtw9e/YsarWa9957j/j4eO69916qqqp45JFHCA8Px2g0MnToUPLz\n8wEYMWIE7777bu1rvPPOOyQkJBAUFMRtt93G4cPKdltWq5URI0ZgNBrp06cPmzdvvmbfGyovr1ar\neeutt+jRowe9evVqsp+XBFQ7YrWYbcBrKMvPgwBCIuMyJKREe+INp3KVWnO7s7rq9A9f0Xro9Xom\nT57MqlWrats+/PBDevfuzY4dO9i4cSMWi4WcnByMRiOzZ1++Yt5isXDy5Em2bt3KypUrKSkp4fz5\n89hsNpYvX45OpwMun5776KOPeOGFF1i9ejUlJSVs2rSJsLAwHA4HY8eOZfTo0eTn57N06VKmTZtG\nWlpavX43VF6+xsaNGzlw4EBtuZCmIAHVzlgt5ixgCRCIhJRoZ7zhVOHrp7+zsrToZEv350akpqay\nfv16qquVKcdVq1aRmprK22+/zYsvvkhUVBS+vr4sWrSI9evXX/a+1OLFi9Hr9eh0OrRaLQUFBXz3\n3XeoVCoGDhyIwWCo93orVqxgwYIFDB48GIBu3boRFxfHvn37KCsr45lnnsHHx4eRI0cyZswY1q5d\nW3ttTcg1VF6+xsKFCwkJCcHPz6/JflYSUO2Q1WJOB15FQkq0I3XC6Sd2W97Rlu7PjUpMTCQ8PJyP\nP/6Y06dPc+DAAVJSUjh79iwTJkyoLfmekJCAj48PFy5cqL02Nja29nj69Oncf//9TJ06lejoaBYs\nWIDT6az3eufPn6dbt2712rOzsy+7H0B8fDzZ2fVnTBsqL3+1vjUVCah26odD6rMW7Z8Q1+OLD/7U\nLsKpxowZM1i1ahVr1qxh9OjRREREEBcXx9atWy8r+V5eXk5kZGTtdXVX1fn4+PD8889z/Phx9uzZ\nw5YtWy6bOqwRGxtLenr9Ui5RUVGcO3fussUdGRkZtSXjrzy3ofLyV/atqUhAtWPXDKmYrmtWz5tU\nffjfaxu8XoiW5na7+ffrC9yfLf+dvb2EEygBtX37dlasWEFqaioAM2fO5Nlnn62dNsvPz2fTpk3X\nvMfOnTs5duwYLpcLg8GAr69vbVn3up544gmWLFnCoUOH8Hg8pKenk5mZybBhw/D39+fVV1/F4XCw\nc+dOtmzZUvveksfjqQ2vhsrLNycpt9HOWS3mdFNS8qvAfG9TSUin2EyNr9+7G1+ek1qYfUY38vGF\n6pZ+3kGIKzmrq1j3XKrr+693FeiDQn5SmJ3x/Y3eKzjEyMJB2qbsXr37X4/4+HgSExM5evQo48aN\nA+Cpp57C4/Fw3333kZ2dTUREBFOnTq39+pW/o7m5ucycOZPz588TGBjI1KlTr/rs08SJEykoKCAl\nJYWsrCy6dOnC6tWriYuLY/PmzcyaNYuXX36ZmJgYVq9eTc+ePWtfr+Y177nnnmuWl79a35qK/FW6\nRZiSkrsD/wtUolTmpdJebMhNP/5owshxQROeW+ajaebnKoRorIqSQv42Z6yzMCcj0xDeKTHn1JHc\n67yFR/ajbH2u9zkoCahbiCkpOR74H5SRcx6Ao6rSLyftaEpkj76Rj/xxva+ff2CL9lGIwuwMVvzy\nPqfTUf11WEzX0WcO7b6RGjISUK2QBJRokCkpuQMwF6WWVBaA2+VSZ6cdmaAPMvZ6YtlW35pqr0Lc\nbNknD/PurAddWp3/hsie/aZZLeaqG7yVBFQrJDtJiAZZLeZ84CUgHWWDWZVao3FH9x74z+oy+743\npw5xnPv2QMt2UtySjmz7kOVP3OPy8w98M7Jnvyk/IpxEOyEjqFuUKSlZCzwKJKKUjncBXMz4zlSc\nlzVh9JMv+gyb8iuVLJ4Qzc3pqGbLH+a5jmxdV20I7zQvPK77cu8myD+GjKBaIZniE41mSkpWAxOA\n8SjTfVUAZUUFoflnTz3S7faRhokvrPCR96VEcynKPcf7T09wlNny8o2RcSmZx/bvaqJbS0C1QhJQ\n4rqYkpJVwHCU0VQp3hV+Lke1T276t+N9tLpeqW9u8I3oamrBXor2KG3vdtY+k+LyDwr9qkOXXjNO\nfbG1KffVk4BqhSSgxA0xJSV3AeagPNBbu39J3pmTA0sLLjww4TfLfAeMntJi/RPth9vl4j/Lf+fa\n8/elLmNU3HvGqM4LrRbzjazUa4gEVCskASVumCkp2QA8DgwEzuMtAFd6MbdTfuZ30xLuHqsbN/8N\nH50huCW7Kdqwwuyz/OPZGY6C86dLwmK6zg8ICV9ltZjrbyD340lAtUKyik/cMKvFXAosBT4EogED\ngCG8U25cn9uXnj6w4/iShxIcaXu3t2Q3RRvkdrvZu26Z543Jg5z2gguHonsPvCfz6FfvNVM4tVl9\n+vTBYrHc0LWZmZkYDIZGFU68nnNbkoygxFWZkpJNwCxAC9RWJrNlne1alJv5cMLI8dpx89/w0QUG\ntVgfRdtQmJ3BuudSHfkZaWVhMV3XBIZ2+D/v4w7N6bIRVGhoEIWFpc32YkajAZut5AfPGz16NHfc\ncQcvvPDCZe0bN25k5syZZGVloVa333GDTPGJJmNKSg5FmfLrgxJSlaDsPpH3vfUBl8uZMOX3K317\nDLu3JbspWimPx8NX6//q+eTNha7A0IhjHeJ7vKbW+Ky/Sc831Sv57rE234upTDR7yXeXy3XVzWDb\nEpniE02mToXe91DKyHcC8PXTVUWbBm4INIav++DXU8o/WvSEs6K0qd/jFm1ZYfZZlj8+yrF92eLi\njt0S1nTsavr5qS+3fXCrP3zbUMn36dOn07lzZz7/XKnXtnjxYiZOnMj06dMJDg7m/fff58yZMyQl\nJREUFMRPf/pTZs+eXbtBbE1Z+JoChyNGjOD555/nrrvuIigoiPvvv5+CgoKrnmuz2XjssceIjo4m\nNDSUCRMm1PZtzJgxREREEBoaytixYy+rAdXcJKBEg6wWs9tqMe8CngO+B7oAfgCh0V1Ox/a9/U/p\nX/3n+KtjejoPblx5WfVPcetxVFawfdli9+sTBzhLL+Z8G3vbkCcDjR1mWS3mUy3dt9bgWiXfTSYT\n/fr1q7cr+KZNm5g0aRLFxcWkpKSQkpLCsGHDsNlsLF68mDVr1jS4k/jatWtZuXIleXl5VFdXs2TJ\nkqueN336dCorKzlx4gR5eXnMmzcPUEaFjz/+OJmZmWRmZqLX65kzZ04T/CQaR7avFo1itZjzTEnJ\nS4AkYBrKzhO5vn76qujeAzcU52Xv/+SNhQ99+felIQ8v+qtvTMLglu2wuKk8Hg8ndm5iw0tzHGq1\n5kK0aeAnekPIH60Wc5ssy96cUlNTGTNmDH/5y1/QarW1Jd+v5s4776wtt5GXl8fBgwfZsWMHPj4+\nJCYmMm7cuGtOLapUKh577DG6d+8OwOTJk69aXyonJ4etW7dis9kIDlZW6A4fPhzgstEUwLPPPsuo\nUaNu/Ju/ThJQotGsFrMb2GlKSj4BPAYkABeA8uCIqOygDp2W5Z051f+dX9w7unfSGM2Dc1/xCY6o\nX51TtC/Zp75h40tPOvIz0iqNkXH7gjvGrAL+ZbWYy1u6b61R3ZLvQ4YM4cCBA2zYsOGq58bExNQe\nZ2dnExoaik6nq22LjY3l3Llz13ytTp0ubfys1+ux2+31zjl37hyhoaG14VRXeXk5c+fOZdu2bRQW\nFgJgt9vxeDzNVgOqLpniE9fNajHnAUuA5UAAEAtoVCq1p2NX0zdx/Ya9nnFkz/7XJvRxfvrWIndV\nef1fCtH2leRns+43jzqX/9fI6vJi29dx/e5YGtwxZo7VYl4j4dSwK0u+d+jQ4arn1Q2ByMhIbDYb\nFRUVtW011Xd/jNjYWGw2G8XFxfW+9tprr5GWlsb+/fspLi5m165dl1XabW4SUOKGWC1ml9Vi3gMs\nALYDMUBHUBZRRPXstz26V/8/H9y4Mu2V0Z2dO959xV1V1nzLfMXNU3zhPBtemuNaMj7BmXH4y1Px\n/Yet6dC550K1WrPIajGntXT/2oKrlXz/IfHx8QwZMoTFixfjcDjYu3cvW7ZsaXAk05ggiYyM5IEH\nHmDWrFkUFRXhcDhqF3HY7Xb0ej3BwcHYbLZ6y+Obm0zxiR/FajHbgX+YkpK/AKYCfVH28yvSBxmL\nY4KM6+y2vA57P1w2atfKJd2HP/K0OjHlSbXsRtH2FOVk8tk7LzqPbP0HAcYO1ri+Q09o9QGbALPV\nYq7/z+9WxGg0oDI173NQ1+NqJd+vVLfkeo0PPviARx99lLCwMIYOHcqUKVNwuVyXXXPlPa51v7rH\nq1evZu7cufTu3Zvq6mpGjRrF8OHDefrpp0lJSSE8PJzo6GjmzZt31fexmos8ByWajHfj2dtQFlFE\nAheB2vm9ssKLYUW550ZVlpX0TEx5Uj38kafV+iBjC/VWNFZh9ln+s/z3zmPb13sCjOHHw2K6pWn1\n/vuAD60W881bc3x9bomtjqZMmUJCQgKLFi1q6a40ijyoK1qcKSnZBxgKPIzy/FQByk7pgFLOoygn\nc2RlWUnvYZNmqu+cOksd3DHmGncTLSUn7QiW9//oPL5joyfAGH4sPLb7d746/THgn8CpJqjZ1Jza\nZUAdPHgQo9FIly5d2LZtGz/72c/Yt28f/fv3b+muNYoElGg1TEnJvsBgYCIQzhVBVV5sMxbmZCZW\nFNv6dxk83D18+lxt19tHtuutXlo7Z3UV3372L3aver364rl0d0Bw2LGwuG7pvn76o8DHQForD6Ya\n7TKgtmzZwqxZsygoKCA2NpaFCxc2+j2s1kACSrQ63hHVQGASEAHYgNqNy5zVVdqLmel9K8tKErV+\n+sDEaU/5DBmfqpLpv5unMDuDfR+97d7/zxVuHz9drn9w6LfGqM55arX6W2ADkN5GgqlGuwyotk4C\nSrRapqRkDTAAJag6ouztlw+4QVlxVJyXFVtmy7+zorSw+22jJniGTfqlb2zfO2RU1Qycjmq+27ud\nPWv/XJ3xzR6Vf0jY0ZBOsd/7B4eWAcdRRkzft7FgqiEB1QpJQIlWz1tqvidwLzAI8KAEVWXNOVXl\n9gDb+e8HVZXbB6s1Gv/+o3+uHvDgzzUxCYNvygOC7ZXL4eD0gR0cMq9xWnduRqsPKPALMBwNi+2W\nq/HxrQQ+B3a34sUPjaJSqdyVlZUqrVbb0l0RXhUVFQQGBrrdbnejd7yV33TRokxJyWHAT4D7UepP\nlaBMAdYqLciLKL2Y07eq3N7fR+unG/hgimbAA1PVkb0GSFg1gtvl4szXFg6ZP3Ae//xjfLS6Il+d\n/lBoVOd8vwCDA8gG/g0cbi8P2BoMhhPz58/vMX/+fB8JqZbldDrJyMhg9uzZ5fv27TtUXFw8vLHX\nym+3aBW8Cyr6AA8APVCm/Qqps0zd4/FQWpDbyX7xQt+qcnt/vwCDb8LI8ZpeifdrugwajlYf0DKd\nb4XKCi9yev/nnPziE6fVsgW1xrdEq9MfDomMy9QbQkAZtX6FMmI63Uan8RoSYzAYPrXb7b09Ho/8\nnWtBKpXKo9frS4C/lpeX/xZo9I728j9OtCreZ6k6Af2BESiLKjwoo6qymvM8Hg+lF3Oi7Lb8Hi6n\no3dFSWFEpx59HQl3j9V2H3avKiZhMOo2XjvnejgqKzj7zZek7fnUfXK32VGUk6nRB4dmaTS+1uBO\nMbn+QcaaAEoDLMDx1v5wrRASUKLV8oZVFMoKwLtRnqnyoCxXv2wqylldpS3Oy4qvtBd3d1ZV9nJU\nVQZ2GXSXq+vtI7QxpsFEmQbiHTm0CyX5OWRZD5F14mtP2t7t1TmnvvHRBQYXaHy1J/2DQ08HdYgq\nVWs0BpTf8XSUUPrWajEXtmzPhWg8CSjRJnjDKhZlFeBdKM9VqVAWVhQC1XXPr7SXBJbkZ3dxVFXG\nuV3OuIqSwjD/4DBXdMIgOg+4UxttGky0aSBtYSl7SX42WScOcf7EQc/Zb/ZU55w6onZWVaIzhOSp\n1KoMP39DZnDHmAu+froAlP01VcAZYDdwzGoxF7ToNyDEDZKAEm2ON6xCgW4oU4EDAL33y3agGKVe\nVS2P260qK7oYXl5ki3RUV8a6Xc7YipLCcF+dvyekU6wzLLa7OqJLb9+w2G6q0OguGKM7ExQRfVOW\nt7scDopyM7FlncF2/gwF59LdeWdPOWznTlN84byPx+Nx6QzBeSqV6qxWH5gdYAzP0RtCylUqVQhQ\nU3vBBhwATgBnvHskCtGmSUCJNs+7bD0KZXHFIKA3l0YSLpTQsnNlaHncqqqy0sBKe4mxqtxudFZV\nGlVqdYTL6QirrigLdlZVavVBIU5dYLBbFxiMPjiUgJBwdYAxXO0fEqbRG4zoAg2o1BrUGg0qlRq1\nRoPb5cLtduFxuXC7XFTaiykvKaSsMN9VXlTgKi8q8JSX2DyVpUWqSnuJuqqsxEerD6zw1fkXqzWa\nix6PJ0+r0xdp/QML9YaQQl+dv0OlUhmAQJQpThVQARwBvkGpdFzQDhc6CCGEEEIIIYQQQgghhBBC\nCCGEEEIIIYQQQgghhBBCCCGEEEKIW8jnwH1XtD0NvPUj7jkWWHCD18qOEkIIIQD4BfDeFW17UfYP\n/CHNsa9S6XWc69MMry+EEKKVCAUucOmPfWcgA2VUtQf4GvgQqCledRZ4xds+BfhvlHLrR4C/e895\nFFjqPe6IUor9G+/HMG/7POCY9+OpOv2pCSgV8Afv148Ck73tI1A2ld0InLqRb1gIIUTbsRkY5z1+\nBngH2AX4e9sWAL/1Hp8Bfl3n2izA13sc5P1vKpcCah1KiIESOkHAYJTQ0aME37com+jCpYB6GPjU\ne00ESmh2QgkoOxB/A9+nEM2q+bdqFuLWsxaY6j2eCpwDEoAvgcPADCCuzvnr6hwfRRk5TeOKzW29\nRgLLvMceoARl+vBfKBvIlnmPk6647i7vfT1AHkpg3u79fD9KYAnRqsicsxBNbxPwOkqhRT1wCNgO\npFzj/LI6x8ko4TIWeA7oS/2qA1d+7rmiTeVta+gc6pxThhCtkIyghGh6dmAH8DeUUcs+IBGlfhUo\n03A9rnKdCmVktRNlajAYpcRGXZ8Bv/Iea1Cm+HYDD3Fpiu8hb1tdu1He41IDHVBCcD9SckcIIW45\n41Gm6Hp6Px+JEghHvB9jvO1nUBZWgDKjsRtlmu8YMN/bngr8yXscAWzwnnMYuMPbPpdLiyRq3qMC\nZQqwxqtcWiQxydt2N8qITwghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCFEe/D/\ndJqE0ScZEXAAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1077426d8>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Bar plot"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "\n",
      "mean_vals = [X[y==i,:].mean(axis=0) for i in range(3)]\n",
      "\n",
      "labels = [attr_dict[i] for i in range(4)]\n",
      "\n",
      "# Setting the positions and width for the bars\n",
      "pos = np.arange(4)\n",
      "width = 0.2 \n",
      "    \n",
      "# Plotting the bars\n",
      "fig, ax = plt.subplots(figsize=(8,6))\n",
      "\n",
      "plt.bar(pos, mean_vals[0], width,\n",
      "                 alpha=0.5,\n",
      "                 color='g',\n",
      "                 label=labels[0])\n",
      "\n",
      "plt.bar([p + width for p in pos], mean_vals[1], width,\n",
      "                 alpha=0.5,\n",
      "                 color='b',\n",
      "                 label=labels[1])\n",
      "    \n",
      "plt.bar([p + width*2 for p in pos], mean_vals[2], width,\n",
      "                 alpha=0.5,\n",
      "                 color='r',\n",
      "                 label=labels[2])\n",
      "\n",
      "# Setting axis labels and ticks\n",
      "ax.set_ylabel('cm')\n",
      "ax.set_title('Average values for the flower dimensions')\n",
      "ax.set_xticks([p + 1.5 * width for p in pos])\n",
      "ax.set_xticklabels(labels)\n",
      "\n",
      "# Setting the x-axis and y-axis limits\n",
      "plt.xlim(min(pos)-width, max(pos)+width*4)\n",
      "\n",
      "\n",
      "# Adding the legend and showing the plot\n",
      "plt.legend([label_dict[i] for i in range(3)], loc='upper right')\n",
      "\n",
      "# adding horizontal grid lines \n",
      "ax.yaxis.grid(True) \n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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3VtW2PZ0O9aVSJXmZrkiH+kqi5ZGv6aw9XZ5OO92e05lMGqjI2/utLd5/6UyG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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1077c1eb8>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Box plot"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "![](../Images/boxplot.png)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(8,6))\n",
      "ax = plt.subplot(111)\n",
      "\n",
      "bplot = plt.boxplot([X[y==i,3] for i in range(3)],\n",
      "        notch=True,          # notch shape \n",
      "        vert=True,           # vertical box aligmnent\n",
      "        sym='ko',            # black circle for outliers\n",
      "        patch_artist=True)   # fill with color\n",
      "\n",
      "# choosing custom colors to fill the boxes\n",
      "colors = ['pink', 'lightblue', 'lightgreen']\n",
      "for patch, color in zip(bplot['boxes'], colors):\n",
      "    patch.set_facecolor(color)\n",
      "\n",
      "# modifying the whiskers: straight lines, black, wider\n",
      "for whisker in bplot['whiskers']:\n",
      "    whisker.set(color='black', linewidth=1.2, linestyle='-')    \n",
      "    \n",
      "# making the caps a little bit wider \n",
      "for cap in bplot['caps']:\n",
      "    cap.set(linewidth=1.2)\n",
      "    \n",
      "# hiding axis ticks\n",
      "plt.tick_params(axis=\"both\", which=\"both\", bottom=\"off\", top=\"off\",  \n",
      "        labelbottom=\"on\", left=\"off\", right=\"off\", labelleft=\"on\")\n",
      "\n",
      "# adding horizontal grid lines \n",
      "ax.yaxis.grid(True)\n",
      "\n",
      "plt.xticks([y+1 for y in range(4)],\n",
      "           [label_dict[i] for i in range(3)])\n",
      "plt.ylim([0,3])\n",
      "\n",
      "plt.title('Petal widths of the three different flower species')\n",
      "plt.ylabel('cm')\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1rc6zYMGCZv/bUl1dTSqVanfZJHVslQ7uOqB/1vi2ybS1TJ06lREjRnwyDDju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\nUg4EcuaY9nMAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1077c1710>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "1D Histogram"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(12,6))\n",
      "\n",
      "for ax,cnt in zip(axes.ravel(), range(4)):\n",
      "\n",
      "    # set bin sizes\n",
      "    min_b = math.floor(np.min(X[:,cnt]))\n",
      "    max_b = math.ceil(np.max(X[:,cnt]))\n",
      "    bins = np.linspace(min_b, max_b, 25)\n",
      "\n",
      "    # plottling the histograms\n",
      "    for lab,col in zip(range(3), ('blue', 'red', 'green')):\n",
      "        ax.hist(X[y==lab, cnt],\n",
      "                   color=col, \n",
      "                   label='%s' %label_dict[lab], \n",
      "                   bins=bins,\n",
      "                   alpha=0.5,)\n",
      "    ylims = ax.get_ylim()\n",
      "\n",
      "    # plot annotation\n",
      "    leg = ax.legend(loc='upper right', fancybox=True, fontsize=8)\n",
      "    ax.set_ylim([0, max(ylims)+2])\n",
      "    ax.set_xlabel(feature_dict[cnt])\n",
      "    ax.set_title('Iris histogram #%s' %str(cnt+1))\n",
      "    \n",
      "    # adding horizontal grid lines \n",
      "    ax.yaxis.grid(True)\n",
      "\n",
      "    # hide axis ticks\n",
      "    ax.tick_params(axis=\"both\", which=\"both\", bottom=\"off\", top=\"off\",  \n",
      "            labelbottom=\"on\", left=\"off\", right=\"off\", labelleft=\"on\")\n",
      "\n",
      "    # remove axis spines\n",
      "    ax.spines[\"top\"].set_visible(False)  \n",
      "    ax.spines[\"right\"].set_visible(False) \n",
      "    ax.spines[\"bottom\"].set_visible(False) \n",
      "    ax.spines[\"left\"].set_visible(False)\n",
      "\n",
      "axes[0][0].set_ylabel('count')\n",
      "axes[1][0].set_ylabel('count')\n",
      "\n",
      "fig.tight_layout()\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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dKkcbf7Tlzh6/yrEpx5nyUTvlv/7fav65oYq83O4A+PZ9CRBxuWb7fgoqK6OK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\nUDclAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107845a20>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "2D Histogram"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(6,6))\n",
      "\n",
      "hist, xedges, yedges = np.histogram2d(X[y==0,2], X[y==0,3])\n",
      "\n",
      "plt.xlabel('petal length (cm)')\n",
      "plt.ylabel('petal width (cm)')\n",
      "plt.title('Petal dimensions of Setosa')\n",
      "plt.imshow(hist)\n",
      "plt.grid(True)\n",
      "plt.colorbar()\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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uOUQJ2yhpW9ck3Xkhel3TiqavD+doYMLmvqs+ou1Kix6XHvuXSH+O70nM2e+j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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107739da0>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "3D Histogram"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "\n",
      "fig = plt.figure(figsize=(8,6))\n",
      "ax = fig.add_subplot(111, projection='3d')\n",
      "x1, y1 = np.copy(X[:,2]), np.copy(X[:,3])\n",
      "hist, xedges, yedges = np.histogram2d(x1, y1, bins=4)\n",
      "\n",
      "elements = (len(xedges) - 1) * (len(yedges) - 1)\n",
      "xpos, ypos = np.meshgrid(xedges[:-1]+0.25, yedges[:-1]+0.25)\n",
      "\n",
      "xpos = xpos.flatten()\n",
      "ypos = ypos.flatten()\n",
      "zpos = np.zeros(elements)\n",
      "dx = 0.5 * np.ones_like(zpos)\n",
      "dy = dx.copy()\n",
      "dz = hist.flatten()\n",
      "\n",
      "ax.set_xlabel('petal length (cm)')\n",
      "ax.set_ylabel('petal width (cm)')\n",
      "ax.set_zlabel('count')\n",
      "plt.title('Petal length and width distributions for all samples')\n",
      "\n",
      "ax.bar3d(xpos, ypos, zpos, dx, dy, dz, color='b', zsort='average')\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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29rJ+/XrL5l8MKZg2RSx0iUSCcDhMR0dHyU2cS6VW+41WIfZjk8mk7n61Yvxi\nxz1UBBQKi2ihSEiXy6W/T7IdM0GQbMdqAX/22WfZYYcd2LBhAzNmzGC33XbL+n29H/KkYNoQY+Sr\ncMWKyFdRNL3cQJd6Uu0iayywIFyO9fpi2PF8Wo1ZJGRuhZhUKgWg57Q2svSf3awou9AMDzOpVGpQ\nOlU57LDDDgCMHDmS4447jhdffJHe3l7WrVtHX18fa9euZdSoUVZNtyjyUclGiH2nRCIxKJ8pFoux\ndetWVFWlq6uLQCBQ9SJiRwtT7FMa92PlE33tMQpoW1sbfr8fIMvVL7rZRCIRvQaxcPHWevGWgpkf\nO52b3IebgYEBOjs7KxorGo3qxVUikQiPPPIIe++9N8cccwxLliwBYMmSJcyaNav6iZeItDBtQLFS\ndqDtV9YiIrRRVXlyyVdgQdJYyq1a1Eyl/yrBTtauneaSj1AoVHFKyfr16/U9T0VR+MY3vsFhhx3G\n5MmTmTNnDosWLdLTSuqFFMwGUqyUnWhFBejl7KykUVV5jBjdzGYFFsSYVkZ2DqVAn0ZQTtWifAW/\nJUOTXBEPh8MVW5g77bSTaUTtsGHDeOyxxyqeYzVIwWwAZkJp1sRZWFpbtmypyTxqJRyl1n1NJBLE\nYrGSCixI7E2hWqWFCn7LqkWVY0cLM3dO1ViYdkQKZh0x9q3L3aPMbUVltLSaySIq5QssCg84HA46\nOjqqCgqQ2JdCIlqoalGuiNpJGOw0F7thtkZVs4dpR+RKVSfy1XwVqROFmjjXSjDrLcTGfcpy8kZr\nMc984zXTw0kzUkrVImPQm8vl0sV1KFQtshK7irdVQT92RApmjSkU0BOPx4nFYiWVsmsWwTQbs1gh\n+Hpj/Gyn0ykr3zSYUi3RVCo1qPSfHVuitSpmAi4FU1ISxSJfRRPnUlySZuISjUaZPft4vN42Zs2a\nxaxZs+pWgLhUmmGfUlqT9sQoooqi4PF49GIKjaxaZCerrhnu3XA4zJgxYxo9DcuQgmkxpZSyU1W1\nYpdkJpPhsssu44YbbiaTGQOM4OGHr+Bb3/oObneQMWN24MADJzFz5kyOOuoo2tvbSxrXKkREq3go\ncLlcVe9TSjdpa2P8HpVStaiVSv/Z6XjMHiZCodCQae0FUjAtQ3xpU6nUoMhXsXenKEpFPRuFYCxe\nvJjzzvsx8bgH+Bawt+FdKRTlI9asWc2aNe9y550/AM7A4+lg/PjRfOlLk/nKV77C4Ycfjs/ns/LQ\nsxDtxqL3WCk1AAAgAElEQVTRqH6sdkQK8NCgWNWiQk2QK6laJC3M/JjNJxKJSJesJBvRxDiTydDW\n1mYa+VrN3t1zzz3HmWd+l08/3QjMAaYwuEiTB9h528/0ba/FSaU+4r33VvPee29w6633AyG83k52\n3nkcBxzwBWbOnMmRRx5ZdaSq8VgBurq6LK8raxW587LTImgX7LYYl4OZiEJ2E2RFUUwLLjSi9F81\n2G2eZnuYMq1EAqB/8Yzh8V6vN6u5cTV7dx9++CFz5szltdf+BRyx7cdbxgg+YNdtP4dtey1KIrGa\nN99czZtvPs4f/vAHfL5Otmz5tOz5AYOOtbOzk61bt1Y0Vj7stii0EkPp3OdrgtysVYvs9lCTL+hH\numRbnGJNnEXB6kpL2YXDYebNO4MHHngI2A+4GrAqoCcA7AS8DqwF9iCd3lD2KCKfVOxTDpVGznK/\ntLUot/QfaFW47FJwodGfX4xQKCRdsq1KPqEEsvZKgsGgnmNWDplMhosvvpibbrqFTKYfuBywMsIs\nAzwN/AXoA54BPGQypXU/FxiDlyo91nKwWsSkKDYX9XaZFxLReDyue5Zk6b9szK5TPB4nEAg0aEbW\nIwWzBEqJfE2n03qaSCVfmEWLFnH++ZeSSHiBc4A9rT0IXgduAxTgZuCUba+/jaqmSxpB7NUW68Mp\nBKlVFw7J0EOkuQB60Fxurmi9S//ZrTen2XfebnOsFimYBSgW+Wps4ux0OonH42V/MZ588klOOeWb\nbNiwCTgR+BLWdl37GLgdWAN8F1iQM76vqGAa9ynt3IezEkSd02YK9JA0hlxBKFa1KF/pP2Nw0VBm\nKHpxpGDmIbeUnTHy1ayJs7A+S+X999/nhBNO5s033wSOBA6nvICeYoSA/wOeB2YCLwFmOZn+vIIp\niiyUuyfbDC5UVVUJh8N69ZhEIqEvYE6nE0VRWmJRk1hLKaX/kslk1rqSG6FbKnbz4uSzJu00x2qR\ngpmDMfIVzAN6zCJfS13UQ6EQp5xyGg8//ChwIFpAj5VRZCngr8ByYDc0V+wuBd7vQ3PTZqMoCpFI\nBKAu+5T1QljLgO5CVxQl6xqLB4VGWgZD8em8UuwmDOWSr/RfbtUi4aFq1tJ/uffsULyHpWBuo9TI\n10JVawrdIJlMhh/+8If8+teLUNUJWB/Qo6JZkXcAQeBeNMuyGH6Mgml0NVdSZAHqWyy9nL83RvUC\nBAKBQQ9GYnES6UHGRc1MRGuxR9XM4jCUsVK4rahaZMcHCeN84vE4fr+/gbOxnpYXzEKRr8YmzsWs\nrEI37q9+9SsuueR/SCR8wH8De1g2f433gVuBzcCVwPll/K0H0DqmiIcDu+1TVjsPY5eUYDCI2+1m\n8+bNeT9LiHO+Rc2ss4bs8SiplnKrFgF6fIUdSv+Z9cIcSikl0MKCWSjy1bjAiibOxW5EsdDm3jQf\nf/wxP/jBD9FSOvYA3tv2//2Y7ymWw0bgT8CbwDfQol/LLUXnADx89NFHjBkzxpJ8SrukbRhbpxl7\njFYzt3zuNbNAj2ZOObCj9dJoGnFPF6paFI1GcTgclpb+s5JwODykqvxACwqmWNyM0WtWlLLL975g\nMIgmkKcCbwMvA08CA2iCORFtj3EnYDylBf7E0PYoHwP2R4uA7S1pnuZ4SKfTBQu1N5JyRc7YEcbj\n8ZjuN4v3WTW/YtGSuSkHzSiijcAOD15G7HKtxH3j8Xj0e9u4fZCv9F8t7zkzC1MKZhOTL/I1N22i\n0lJ2ZvsK210SO6JZlQIFzdp8B62YwINABBiGVspuZzQRHcv2y5Te9t67t72+Avhi2fMcTBvhcNiC\ncTQaaWEag5Wq7ZJSDYVEVKSy5BNRad0NRp6PwZiluZRTtcjqB7fc+Qy1XpjQIoIpnrhEgfRAIDAo\noKeUJs7FMBMKTXhdQBItwEbgRoti3c3wWhzNCn0XLdI1vO21HdCs0DfQRPN3aC5Yq/AyMDBg4Xi1\noZCQGL0DlQYr1ZpC7lwhomJBE/eSnWuZthp2epAp9YE0n4iW8uBWzj1nNh+5h9mECPeccRECym7i\nXAr5LSszwTTDB+y77UcQQtujfBnoQRNUq8PMvZYWTK9FHmY+jA89lXgHGr0AmomoSHtxOBx5C4I3\nen9KYg8quf6lPLhVWrXI+Du5h9mEiEVFuGDT6TQDAwOoanlNnEvFTCicTjeZTKrCETuBA9AEN4b1\nYgngawoLM5dUKkUkEsHpdJbtHSgk6o3eNxP3q7GXaCldNaSISiqlnGA2s9xkMwYGBujtrSa2wn4M\necEE9Eo88XicdDpNIBDIWwe12s8xQxPMZJWje4BNVY6RD7+lglnrPUxjFLPVDz12FZti+1PGIA+z\nHFG7Hlcx7OYGbaW5lFu1CDTP3ebNm3G73QwMDDBx4sSKPz+dTjN58mTGjh3L/fffz6ZNmzjxxBNZ\ns2YN/f39LF26lO5uq7o4lUZzlJCokmg0SigU0hcQn89Xk5stn1C43R40C7EaPGj7mbXArwfK2BWH\nw6GH0odCIdxuN11dXbbcq6wXQkTb2trw+/0Eg0E9X1ikG8RiMSKRiJ5eI6yERlvRkuZEiKjH48Hr\n9RIIBAgGg/r3UFVVHnjgAfbZZx9+97vfcd111zF//nwefPBB1q9fX9Zn/fKXv2SPPfbQv98LFy5k\nxowZrFq1iunTp7Nw4cJaHGJBWkIwRWqB6DJQK/ILphtrBDNR5Rj5sLeFKfJbQ6EQmUyGzs5O/H5/\nywplIcxE1GiFCxGNRqMliegNN9xAd/cOjB69C4cdNpP58+fzr3/9qwFHJjFiJ2tXbHc5HA68Xi+n\nn346H330ETNnzuSII44gFApx/fXXc8ABB5DJZEoa8z//+Q8PPvggZ555pn5fLlu2jHnz5gEwb948\n7r333podUz5awiXr9Xp111Utn6zzCYXX6yUcrlYw26hedPMR0Csa2Q0R3QzornQrsGtpsVqQW4+0\nWAk2l8vFW2+9xfHHz2X9+k3APMJhJ88//wHPP///8fOf/xKAzs5h7L33RA4+eArHHnsse+xhdQUr\ne9Eq90sl5J4bl8tFPB7n+OOPZ5ddCtWyNuf73/8+11xzDaFQSH9t/fr1+p5ob29v2RarFbSEYApq\nvbeWb3yfz4s1FmalgUPF8FuahwnVB84Y00T8fj/pdLphOZVDjUIl2JLJJGef/S3uuWcZ8P+A49he\nTOML2/6rAp8RCn3Is89+wLPPLmXBgutwOJx0dQ1jn3121UX0c5/7XFVzlSJljt3Oi9l8BgYG6Ooq\nv7HE8uXLGTVqFJMmTeKpp54yfU+j9uVbcgWq1c2WTzDb233YWzCDRKP2KFyQryuMSLWQ1AaHw8Gy\nZcs466xzicc7gEvRim2YvhsYse1HFM5QUdUNbNnyIU8//QFPP30H8+dfjcPhprt7GPvsM5Gjjz6a\ns88+uw5HI7ED4XC4ojzM5557jmXLlvHggw8Sj8cJhULMnTuX3t5e1q1bR19fH2vXrmXUqFE1mHVh\nWmIPU4ij1SXRzDAbu6PDT/Vi50ErWlALgsRiMUtHrOQcp1IpQqEQyWSSjo4OgsGg7kqspXcgt1pK\nqwXEbNiwgSlTDmHu3LOIx48GriC/WObDAYxCK9X4NbRuPP+Lql7O5s39/O1vf+NHP7rS0nnXGztZ\ndXaaC5jPJ5lMZqVGlcrPfvYz/v3vf/Phhx9y5513csghh3DbbbdxzDHHsGTJEgCWLFnCrFmzLJl7\nObSEYBqp18JrpLOzneoDdjyY9a20BmsFs9wvciaTIRwOE4lE8Pl8dSlp14rCaMaCBQuYOHEv/vUv\nB7AQzQ1r1bIwgFbG8RXgJNzuoZXELtlOvu+SFaIuxrjooot49NFH2XXXXXniiSe46KKLqh67XFrO\nJStqddaCfIuwVu1ibZWj19rCtNblWco5Nqvha6en5qHMypUr+epXv8HGjWHgO8CeFo6uotU8vhPY\nG/gIWInD8TSRSKSsXqJ2eqix21zs9l0xzseq+U2dOpWpU6cCMGzYMB577LGqx6yGlhDM3AtXb8HU\nuoBUa2G2UTvB9BOJWJeyUsoXRZQmdLlcJVXpqaVFaMfFp1Ykk0lOPfUMli9/CDgMOJryW8IVYi1w\nC/AZsBg4cdvrip4Dna8NWj4RtdO1sdNc7ISoOpX72lA7Xy0hmEZq7ZI1G1uLFLMi6KdWgukjGrXW\n3ZvvHOdW6alkj8NKmrkKTrncddddnHPOD0ilhqPtU462cPQUcD9a04CvoFmXxmubxuks3gYtV0TF\ne4bi4lsNdj8f4hoONaRg1mFsrXxTtRacG83VlcRaiwDATzxuXY6n2RfZ2My53F6jxjGsopX2MNeu\nXcsxx8zhnXdWoQXkTEEL0rGKVWgddNrQXLH7m7xHwekc/JnFyq8JARU1gxvZS9TuItVIzFp72bW/\nbjW0hGDWKwqytoLpQOt6sgnoq3KsXPwkk7WxMIs1cy4VuVCVTyaT4YorruDGG3+Lqn4euBqwMvAm\nAvwZrZPOuWhBQ/murVLydTeKqLjuRldubjeNejRHthtmLtBGkiuYQ7FTCbSIYBqptWVhNnZPTw/W\nVOlxAxuxXjB9lgqm+OKIKj2qqja0mXM5DBXL8/nnn+eEE05h61YF+B7ZfVerRQVeBG4FJqBZmOOK\n/E3pgpn1SdsW4lJaUskOLvZhYGBACmazUk8L04zhw4djnWDWomOJH0WxTjDFIjYwMGBZM+daXLeh\nIIxmHHbYkTz//PPA4cCxaPvfVrERWAT8G7gBKLUQQRqXy1qLKJ+I1qoNmp1csnaaCwyez1BsHg0t\nIphGRNeLWo1tFqAwYsQIrKnSU6sWXz4UpfqAImOVHqBi92s9sNNiYzXPP/8CWjPyh4F/ALsAOwM7\noQX6VPK1T6MF9NwHHAy8BJSzR2W+h2k1lbRBk5Zo9eQ+fA4MDEjBbGbqUWw739gjR47EOsHcbME4\nufjJZKoTzFQqRTQaxeFwEAgEiMfjthXLoU8G+C6ayL0FvIfmNg2jtYjbAdgVzZ26E5qLv9C1Wo0W\n1JMCHgAOrWBOSlkNvq1kKPYStZuFCdnrn9zDHCLUqwC7uHnS6TR+vx9rqvS0AVstGCcXH+l0ZfMz\na+Zci64wQ2VvsT6I8xRAK5j+BcPvQsCbwAfA62jVeBRgLJqI7rTtZyRaoNr/oUW+ngL8lsqrACkV\nuWRrWfc5V0SNjZFFUJFRRIX3yI5i1UjMvpfSJdvkGIWsHoJpTKPYXrFfobpT3gZsqX6Sg/CjquVZ\nmMYqPZWmiTSS1hXgTuCAbT+Cz4A3gHfRXLiiN6oTTUj/BVTXdQTSuN329jjktkEDsnJEAWKxmN7p\nJTdCt57YUbRzLcz+/v7GTaZGtIxgCmq5hylIJBIkEomcNAoXWuBPtYIZKvqu8vGVLJiqquruV7fb\nbVqlp1ZiVKsx0+l0VgrD0KCcYxmOti95sOG1t4F70Vy5VqDgcjXf+TUKYyqVIhAIABTsJWpMcWkF\n8rX2khbmEKCWi6Jw46RSqUFpFA6HC1VNornJKqWN7U//VuJHVYu7ZI1pIsFgUE80rwe1uG6KohCL\nxbLcbE6nU18MWyWnz5zhaA95VtG4PUwrESJo1ku0mIha+VBmJwszn2DKPcwmxtjiy2pLxbiP53Q6\n8fv9g/ZHtgtmNdRKMH0UKruX28zZ6/UW/LLa3d0pFjWAYDCoz9WY05dIJLJKtDWqukzjsNoLo+Dx\nlC+Ydr6PBCIwyExERWBRKpUiHo/rqTC50blDDWlhDhGsXMwzmQzxeDyr3Fs4bN6I2eXykMlY0RPT\nukbP2zEPSsrXzLlUrHwKtuK6GfddnU4nbW1teDweksmkvpA5HA7d9dbcifHVzke1YAwjaTyeylyU\ndji35d57RhE1jmEU0WQySSaTyRLRZuvgAvktzO2xG0OHlhXMahbzQkKSb2F3uTykUlZYmNEqxzDD\nA6h6AA9kp4mUW6XHDgtcLqlUSm8t1dnZqT/tF6JYYny+dITGWw1WLKhWC6aC293cLlkrim8UE1Hh\n2ShFRO3yPTNb72RaSZNjdMlWQzKZ1CPlzIQkn2C2tXksKHBeKwvTAXjYsmULo0aNIhqN6laWFVV6\nGkkmkyEajaIoip72Us3xFEpHEK7eXNdbKVaD9djNwlQqtjCHMvlEtFAHF3Ef2WkfM3ceUjCHEJUU\nMTDLNzT7+/yC2YY1Lb5iVY6Rf+xPP/0Ur9eL1+ulu7u7amGx2iVbTnRzPZtTi4Us3/5Vc+6HWu32\nSzZFLeF81FOcjJ6NfG3QAFt0cBFzy/3MTCbT1Nc7H0PviEqgnP2w3ICXYvmG+cb2+71UL5htaJVa\nakEbmzZtYs8992z6aEajOzlfc+pC90C1e0SlWA1m3TYa78o1UguXbPnLjd26cjQKo4iKSG6/35/3\nnpJt0GpDywim8QKWIpjVBLyYjd3e7scaC7PaNmH58Or5iFbQiGLpVrhfa/VFL2Q15AYVGQW38vJs\ndnPJppr+QcxulHJP1UNEzQRyqIpmywimkWLWhbBQRIBIOV/0fDdJZ2cAawTTipq0ZnjZurUWZfes\noVjUoHi4qcT92qgvdr6gonhc8yKIxQ4o0xK1Y9BPqq55u1ZjJwEoNJd891SxaO9qRLSVvAAtI5il\nWJgiMT+TyegBL5V8jtnYHR1Bqt9/rKVg+hkYsC7Hs165mIqiEIlEKormtSPCsnQ4HLS1tZkmxdcn\nqMh6wWz2a9OsVCqilaZMpVLN/XBUiJa8g3MX83IT88sZW6BFjFVrwdVSMH2WCqbVFLpmlUTz2r24\ngqCUpPjcoKJtf1nlJ9tDMO1k2dkFK85JsZSpckQ0dz5DtcoPtLhgmkVSVutaKCyY1e4/erCm64kZ\nzWFhVltMId+YzbQoFwoqEhGU1WN90E8z72E22z1SCWYpU6XkHed2JwqFQrYUTCuuYcsIZu6JUhSF\neDxe0T5lsc8xEwqtTFS1gtlGoRJ21eEnEonUaGxrUFWVUCg0ZNyvhaikskyuxVDlDCwaRzB03XT1\npt4pLsXaoImH2C1btnDTTTcxduxYfTuhnHnG43GmTp1KIpEgmUxy7LHHsmDBAjZt2sSJJ57ImjVr\n6O/vZ+nSpXR3d1d0LO+++y7t7e3ssMMO+vwUpfQI7tbYqTWgKAqpVIpUKkUwGKSjo8PSJ998gqld\nYCuCfmolmIG8Zf0qwUoLU7gdFUXB5/PVRSybwV1bmGoX1IwFYxiRe5hDBbE90NbWht/vx+FwbOv5\nCx6Ph/vvv5+7776bvr4+jjzySC6//HI+/vjjouP6fD6efPJJVq5cyb/+9S+efPJJVqxYwcKFC5kx\nYwarVq1i+vTpLFy4sOK533jjjTzyyCNZr1188cXcdtttJf19y9zBqqoSiURIJpP6k24tnnjzCUVP\nTw/WuGRrZ2FGo7Uou1c5qqqSTCb1VmIulwuv12vJ2LmFEIzpHI3GmocNu+1hKk1tYdrJJWunuQgc\nDgcjR47ksssu4+GHH+att97i9NNP5+WXX+bll18uueiIaJ+WTCZJp9P09PSwbNky/va3vwEwb948\npk2bVrZorlu3jmeffZYXXngBr9fL888/j6IojBs3jrfffpvJkyeXNE7LCKbD4cDj8RAIBEgmk3q3\ninoxfPhwrLEwa9XLM0g0ah8L09hKrKOjA1VVayLoQiSb36LUsK7Xq30KF9hNHCTZmAX9dHV1MXbs\nWMaOHcusWbNKHiuTyfD5z3+e999/n29/+9vsueeerF+/nt7eXgB6e3tZv3592XOMxWI899xzbNmy\nhRUrVvDiiy8SiUSIxWIcddRRTJs2raRxWkYwQTP5RWHjWi2QxoAi402kWZjVCqZwHUeprq+mGe3E\nYhssHrN8hDDmRiwrSq2CnYYW1gqmlTs2zb2HaSfhtlPeo9k6GgqFKu5U4nQ6WblyJVu3buXwww/n\nySefzPp9pV6gnXbaieuuu44zzzyT3XffvaK5QYsJpqDWgmnGiBEjqD4lxIEmmhuBcVWOlUuAWMy6\nOrXlnmOj+9Xj8VgS/SqpBumSlZSOcd2LRCLsuOOOVY3X1dXFV77yFf7xj3/Q29vLunXr6OvrY+3a\ntYwaNars8YQRM2zYMH7/+9+zceNGXC4Xfr+fdDrNqaeeWpLIt+SKVGsXnNn42kW2wg3sBjZZME4u\n7cRitapTW5h0Os3AwADxeJz29nba29sHiaXV12wouWGN2Nkl63Q6URRlSJ73emI3azd3LpU2j964\ncSNbtmwBNBfqo48+yqRJkzjmmGNYsmQJAEuWLCnLxWvE6XRy6qmncv/99xMOhwmFQvznP//hzTff\nLPmebCkLU1zYRgjmyJEj0XIoq12I3MBnVfx9PnxEItbVqS21Xm8sFiORSFRdMEKioQmmFeewNnuY\nomlyqbVN7SIOdnKD2gmz73ilgrl27VrmzZunp6zMnTuX6dOnM2nSJObMmcOiRYv0tJJyEffQli1b\n+Pvf/1723wtaSjAFjRBMrTGzA000q3FNtQGbq/j7fPiJRuuzT2is1+t2u23nfhXXzw4LdbnY2cL0\n+/0EAoEm7NxiL+xmoedep3A4XJFg7r333rzyyiuDXh82bBiPPfZYxfMz0tvby+LFiznggAPo6Ogg\nEAgQCARKjr5vacGs5aJoflO70AJ/qhFMD7Clir/Ph8+CBtfbyfdQIvqKZjIZgsFgyftaQ9WFal+s\nF0xRm7mczi2gpRi43e4qOrcMPexyDqx0ydYaVVXx+Xxcfvnl7L777rjdbt1zsHz58pLGaCnBNLpk\n6/E5g193o6pJIFjF6B5qZWEmk7WzMI3uV5/Ph8/na+iXfqgKsH2jZNMFmxnkq20qCutX3rnFGprV\n49AIQqGQLQXT4XCwaNEiALZu3UosFtMj8kulpQTTSC3dbvkWY6fTRTpdrRXnBUJVjmGGz3LBNFoI\ndnW/DjXs7JItNw9TfDc9Hg9Op7OBnVvshZ3E22wusVhML0BgJ2KxGA888ACjRo2iu7ubrq4uxowZ\nQ3t7e8ljtLxg1nNsp9NtgWC2URvB9Fua6yjOwcDAAOl0uiz3a6HxasFQsjbtLJiVXn+jZ6jczi21\naJgs2Y6ZYOY2BrALmzZt4tJLL8Xr9RIKhdi6dSuhUIg999yT1157raQxWkowjRe2EQuw2+2xoMKQ\nh1pZmIpiTdk9EdSTSqXw+/20t7fbcrEaKiI5GCvOdQZrXbJKRf1li1Goc0spQUWl3pd2t+rsgniA\nsRuqqjJmzBhWrVqV9fpdd93FJ598UvI49nsMqBONEExtwbDCJWtdCbvt+MlkqrcwU6kUW7duJZPJ\n4PF49OLMVmHVNbPrglMt9rUw05bVAS6GcNF6PB58Ph+BQIBgMKj3TFUUhVgsppdGE4X9rTt3tcNu\nYpRPvO32/XI4HCSTST799FO2bNnC1q1ab+Kuri6eeOKJkseRFmaNPsdsbK/XCsH0ALVow+Wrqpdi\nJpMhEomQTqf11IFyNtOLUc8vYDO7aJs16Md0BhYXqsjXpkpYoel0WrdW7Z7eYpc55Qqmnb8377//\nPosXL2bEiBH4fD6SySRPP/10WaXyWkowjdRaMM0WLr/fi30F04+qli+YuU24hfvVSrGUlI5197T9\n9jCtRuxt5tsPFUUWxFoh9vjlfmg2xnMRj8f1Vl92I5PJ4PV6cbvdbN68mUwmwznnnMNhhx1W8hhS\nMOuAaLBqjWDWrnBBuYIpig84nU7TJtxWn1+rI5vF4ihq6Iq0Bjs/JZeGVZV+Gmth1ptC+6GxWEz/\nHjcyqMhu+5e587FrSkkmk2HPPffkpz/9KatWrcLtdtPd3U13d3dZ57OlBLMRLlkhKg6Hg56edqyx\nMGtR89WHqpa2h5nJZIhGoyiKQiAQwOPxmEbK2Z1MJkMoFNItH2PCfCKR0AVULIjNgH33MDN128O0\nErEfCuilG/MVWagmqGioMDAwQEdHR6OnMQin08kHH3zA7373O/7617+yZcsWvF4v3/nOdzjnnHMG\nPezno6UEE7KtlFq7ZMPhMIqilQRra2ujs7MDGKhydA/VN6I2w0+x5tRCSGKxGF6vl66uroILgl0t\ntVQqRSQSQVVVurq69L0scSyRSESvAmLc22qGXD/77mEqTSmYZuQrsiBcuYqi6CKae89U++BldwvT\njlV+xBxvueUWwuEwr776KqAVez/rrLPo6enh5JNPLmmslhNMQb59xmoRwS6KouDz+bJERUuQrbZw\neq0E04dW59Yco6Vs5n7NpZ4FIUpFuNaSySQ+n0+3InPvg9wFsVCu39C1KKx3yZa7h2k3cSjEUAsq\nKhUzwbSbhSnm+OmnnzJ58mT99REjRjBq1KiyUv1aWjCttICMBcXFk2RutQvtyatasfNQvVs337ha\nAI9WKF5DuF9TqRSBQEAPzW8mjL0229ra6Orq0q1lMBd3471RaG8r1y1nXAgbsRjat1tJc7pkoXJP\nSalBReXsh9r9IcKOe5jie3vEEUfw6KOPcvfdd7P33nvz5ptvsnbtWiZMmFDyWC0nmLVwyYqC4qKi\njdPpZGBgsOtVa1BqhWDWouarA/CwZcsW+vr6Brlfy90cr5XLu9wx0+m07n7t6OjQF69CKTSlHKeZ\nWy7XomhE2Tb7umQztg/6KUa1161eRRbqSTO4ZAVf+MIX+PDDD7n++utZu3Yt48aN44orrmDq1Kkl\nj9FygimwYkHP7ecoUioymYzp2NYIZhu1EUwAD6FQiBEjRuhFr40i02jKWTCM6S71KvZeyKJIp9N6\ncnwtF0P7CmY6y3Mh0TA+eBXr3GLcIhB77o0UUbM1LhwO09vb24DZ5Ed8537wgx9w5ZVXcuGFF+q/\n++Y3v8no0aPZbbfdShrLHithA6hGMI0uPo/HU3JB8Z6eHqyJkq22vF4+2li3bh0jR46s2v3ayOR/\nEdTjcrlK2m+tFUaLwmwxzA0OESJqj2Ap6y3MSvYw7UC93aCFgopSqZT+oA6N6dxiNl/BwMAAEydO\nrLtuRqIAACAASURBVPscCiHmt3r1at36TafTuFwu3njjjbICsVpOMI2FnCv5QiqKQiSiFQ7IZ32J\nsXO/aMOHD8cawbSm5utgvGzdutW2HUWKXbNS0l3yjVWvRbEUV65wF+emKpQyP+2Y7JiHmanIwrSj\nG7IRiKAiYS21tbU1vHOL2XdmYGBgmyfNPog5fu5zn+PRRx9l5syZ+P1+vbVXOS7klhNMQbmCaYyw\nLGZ95XvdOsGsVc1LL6lUyhKxrHdhiNygnmZaaHNduYlEQrc6y3XlWueStbL4uspQ2MO0E0bvhZ06\nt4TDYdvuYV5yySWce+65vPLKK7S3t7N8+XJ+9KMfMWrUqJLHaHnBLGZZmOUeliIoZlVp7G9h+gmF\nrO2EUmvLLV9QTzMjzpfH48ly5ebm+cFgl5w99zC1yN1mvTZ2ikwtNJd6BxXlszDtllYi2HPPPXn4\n4Yd54YUXiEQiXHjhhYwcObKsMZrzDq4Co0u2GGIvLF/pt2Kfk2thaU8y1QbsCMG0uv0SgI9w2JpO\nKLXOw8wNuBJVWKzCLvtngmJ5fiJFQextVY+VgqlgbYqKpFTKDSoqp8hCs7hkjXg8HqZMmVLx37ec\nYBoxswIhO02k2F5YsbGNaBZmtWLnQlt8woDVrg+/aTqM3TAG9VS631rIZWwXa6IYZlG52qJotz1M\npaKx7GLZ2enhSexrV0Op++iVFFmwc1qJFbScYBovuFngh7BafD5fVY2PzRZkbQ/HibaAVLOf4wY2\nYL1gBvSAJivI90BSKSJVJJPJ6PvIku1Ym2agoj2cWUGaZm+9awfhriXldG4pFM2dSqWG9Pey5QTT\niHEfU1TpcbvdlqUimD+ZutD2MasVzE3AzlWMYYbfMpeslRjLDbrdbsuDeobSYmjPPczKLMxm4pZb\nbqG9vZ1jjz12UIUvK6lnNHex/dB0Oo2qqkSjUZYsWYLX68Xr9ZJOp8uygv/9739zyimn8Omnn+Jw\nODj77LM599xz2bRpEyeeeCJr1qyhv7+fpUuX0t3dXYvDLZmhfRcXweHQuq8PDAwQi8UIBoO0t7db\nIpb5N+aFYFaDB00wrSZANBq1bDQrImXT6TQDAwPE43Hcbrfle5VDEyvOTwbrLMzm3sMsJFKhUIgp\nUw7hggsu4ZvfvIi+vjGMHDmeAw44iAsvvJBnnnmmJjWrG4GwLj0eDz6fD4/Ho38ng8EgK1as4J//\n/Cc9PT0cdNBBnH/++Tz33HNFx/V4PNxwww288cYbPP/88/z617/mrbfeYuHChcyYMYNVq1Yxffp0\nFi5cWIejLEzLWZjixhdPSrFYrCZBI/nEwul0k07bWTDtYWGaBfVEo1HL9pPEtbbT/pQVWHc8jbcw\n7X5t7r33Xk4//RwUZQJwNdoWSZREYjVvvvkBb775LL/97W1Aio6OYey99y5Mm3Yws2fPZpdddqno\nM+2yrwvZecKnnHIKc+fO5cgjj2T58uX84x//4KWXXuKzz4o3m+jr66Ovrw/QGlTsvvvufPzxxyxb\ntoy//e1vAMybN49p06Y1XDRbTjDFPlgsFsPhcOD3+2tSsiufYLpcVghmG7ClyjHMaCcW22DZaJVa\nmCKoR7hf7VhEwa7Y0yWbrioWwG4kk0lOPPEbPP74U8DXgYPYbkEHgD22/Ry17bXNDAx8wHPPvc9z\nz93Jz352DQ6HhxEjRrLffnsxY8YMZs2axbBhw+p+LFYi0lW6u7uZPn0606dPL3uM1atX8+qrr7L/\n/vuzfv16vcxeb28v69evt3rKZdOSgplKpejo6NC7VdSCfGLhdnv0HLrK8QBbqxzDjICFaQnlk1up\np1HBA40s61ct9hTM5t7DNFp1K1asYPbsk4nFuoH5wIgSRugBvrDtByCDqq5lw4YPeeCBVTzwwELO\nO+8CXK4Ae+65KytWPFnSXBpNbsTuwMAAwWCw4vHC4TCzZ8/ml7/85aBczkbXzRW0nGC6XC79Yoj8\no1qQb9Fta2sjGq22FmwbtRHMdmKxuGWjlSo8ZsUhzL4czSxk9cWqtBJr9zCTyaStm28XIpPJ8K1v\nfYc//ekuYBZwOJU/BDiBMdt+pqBFEf8f6fRjvPXWB5bMtx5Y2QszlUoxe/Zs5s6dy6xZswDNqly3\nbh19fX2sXbu2rIo8taJ5H/uqoNp6sqV+htnYWk9AK1yy1lbk0fARidTO6jZDBF0lk0k6OjoIBAJ1\nW0yHogDb1cIU5zqRSBCJRIhGo8Tjcb3yjJ2vw9tvv83nPjeJP/3pEeBS4AisOzfrgZ8ALwPz8Xrb\nC77bThZmLpWWxVNVlTPOOIM99tiD8847T3/9mGOOYcmSJQAsWbJEF9JG0nIWphGHw1H3CLZAwIc1\nglmL4By/BdbvdgoJUq0r9bQq1gb9WJeH6XA49QbSpVaasYM4/PSnP+Xaa28C/h/wVbTtECtQgaeB\nPwNHAkuBe8ru6NJIcq9PKBSqyMJ89tlnuf3229lnn32YNGkSAAsWLOCiiy5izpw5LFq0SE8raTQt\nL5j1tjA7OqwSzFpU5PERj9eqddh2RKH0coN6anW9Gr0oW49VaSW1KY1XqH1VbscWsXdVb1fu2rVr\nmTHjaD76aD1wPrCrhaMPALcAHwJ3Acduez2G15tfMMW9b5f71arm0VOmTMlruDz22GMVz68WtKRg\nGivQ1FswOzuDWJOHaV1Fnu34SSZrZ2Eag3qCwWBTPU03C9a6ZK3bwyy2yItaucZKM6K6jCg4X+vm\n24JbbrmFH/zgUlT188B5gN/C0f8F/A7YHfiY7GpdUXy+5l2S7dypxCqa9+pYQGMszHaqTwlpo3aC\naX0nlFKDekodyyqsLt1nBzTBtF8tWYejvLGMlWbKceVW00Q5FArxla8cxz//+QZwFjCponHMSaC5\nX18AfgZ83+Q9UQKB/JHhdrtXrXLJNhNSMOtuYXaibfRXQ63SSnwoSrXdVLbjcDhIp9OEQiEcDkfV\nJQdbKRio0s+3p4VZWR5m7oJcStHwSpso33fffZx22re3FSFYgLV1mlcDvwaCwFtAf573RWlvtz4n\nvBaY3Z/hcJj+/v76T6aOtKRgNjJKtr29HWtcstalf2zHj6JYY2GqqoqiKKTTaYLBYMGG25Js7HGe\nrHbJ1iYg36xouFFEi7lytSIEJ/P4408yuAhBtWSAB4H7gTOA3xR5/wDBYH7BtJuFCdn36lDvVAIt\nKpiCRgimVjy42tSNWgmmj0ymegtTBPUA+Hw+3aVWLVZfL7stPlZg3fmxtpZsPb0Dhfo/iubbqqqy\ncuVKZs06iWQyAFwFlNdMuDAb0QRyK/AE8OUS/iZc08LtVpKvF6YUzCFMrV1vtRPMNqq3Us3w69GJ\nlWDsIxoMBkmlUrYXJTs+tVeDXfcwnc7GneN8rtzf//7324LcNgNXABPQomF3BnZCK3NXLirwd+BW\ntFSU+yi9M1FhwbT7vVpN4YJmoSUFM/emq8WNaCzubRzbOguzFukfPlS1fME0BvUY+4gqitLwvcBi\niNrCqVRKX1TtPudCWLeHaaWFWV67J0EtBcLpdG6zQD8HHIMWsfoG8BKaRRgGutEEdBc0MR1L4XMS\nAf4AvAP8EfhambMK097e2PZVpZLPwuzq6mrQjOpDSwqmQOxj1FIwcxk+fDjW7GHWQjD9ZQumoihE\nIhFLgnqKYbVHQFVVIpGIvq8lhF80ygVqmr5gfxq/h1nLcx6Px9GWQCew47YfQRJN+N4BHkHLnUyg\nlbPbDc0KnQAMQ7Po30Jzwe4EfLTt9XIJ09GxY97f2snClC7ZFiI38q7W+5hGa1O7oaoVOw9aMrjV\n+FDV0sYVjWOTyaReKD33C9SISkqlIKoMZTIZfY9VUbbvsxlFU+x5AVmpC3ath6rdy/brh+ly2e9c\nadc13xLYBuy97UewBXgdeBetlN3Atr/vQ7NQLwEuq2JGkW1Bgc1JJBKRLtmhTr0Cf4QlZp1gWp8v\nqSVoFx5XdHuppFKPFVR7rYytw1wulx5dKfZbxbE4HI6sbikiaCSTyeiCKiI0jfl/jRZRe6aVNHYP\nMx+ahVnOMXajFUufsu3fGeDfwF/QasxeWuWMYgVdmna3MDOZTE09THZACmaNBTOTyRCPx3VLbPz4\n8djZwiw0bm5QTymVeuwS1WrWOiwUCpFOazmCHo8nKyne4XAMElHj8RZKos9NX6gn9tzDVHA67beQ\nau39qqk25QTGoz1o5nellk60aS3MZt73L4eWFMx6uGRVVUVVVcLhMG1tbbolpu1hZqiuVmfbtr+3\nGg+gBcEYm2qLwBjxugjqKYYdnoZFibVoNKpfB9DE3+l06o3EjZam2+3G6/Xq11BEDov/CndsoSR6\nUdatMVao3dp7pStyydbaoorFklhT9i4FWCF00W1BgebY3cK0g4el1rSkYBqphWAqikI0GiWTyeD3\n+/H7t38ptYXZhfYlqzQ/sVYuWQfgYcuWLfT19QHVB/XUopRdqQiLOJPJ0NHRgdvt1gVQVVV8Ph8+\nn1bdKJFI6JaliO4VLlvhmhWCKKw4Y4FwYYXm1kOttxVqz24lii1ddVqjASvmlcaaykBx/H4/iURC\nvz/qud1RDmaC2QpWphRMCwXTGAgjRNJ8oXChReFVKphuNAtTwfpLqAnmqFGjiMViBYN6itGop83c\nNBdhLYs9SEBvHyXKqXk8HoLBoH4/iCpFyWRSDwgy7nuKYxO9HK20Qqu5H+3aD9OOQT+JRAprvj8K\nYEU6RYIRI0bo2wHiAU7cG3beI0wmky3RTKElBdNql6zR7efxeHT3a748RIfDhapWk1ri3PazBRhR\nxThmeNm4cSO9vb1ZruRKqfdTp7DuAd0iNlqVwm2UyWT0SNlgMJi1EIk9zUKVYsTiVSsr1OFw6JZG\nOVaodVGyKtYtDwoul/0sJU0wrbIwrRHMkSNH6veScUvAeI8oipJV6q8REduqqmatC62QUgItKphg\nXYuvdDpNJBJBVVXa29uznrLyje10ukmnq83FdAOfYb1gtrFx48ZBx1IJtchtLachNWy3KoVgCesz\nkUjQ1tZGIBAoOk+jpWhczGplhYrxgEEFxeu3SFq9h1n+WLXes0ul7CSYKpCip6dHf0U83AlhymQy\nuN1unE5n0ebbtXblmvXCbNaApXJoWcEUVJoraLZAm22Cmy3wbrdVgrkRrVKJlfhIp9OWuVfqYWGK\nVBGXy6W3DjNaeWLhSafTxGIxgEFWZblYYYUa/0aMKRY6s7ZWRlduvrZWdq0l63bbz8LUznu1S6CK\nJpjVVujRIueL1ZI1e8ASD2PG5tvifeV0bKkGaWG2COUuMuXkIeYXTA+JhBXVfjZXOYYZPgYGBiwZ\nqRZfUOP5NO4ZG9NchLgYKzmJ1B6v11uTzimVWKFGV6sQUEVRdOsymUzq7zErKG5cJIUVquUW2i1K\nNlswFUXh61+fy8MPP0FXVw9f+MLuzJhxKMcffzy9vb0WfWZxUimF6o9R1O6tti1XlGLLcT6LW9xT\nRje/0ZVbi7zh3LmEQiEpmEOZSlyyxqjLUvIQ81mvbW1tRCJWCGa1jajN8BEOh2swbvUYv6C5e8b5\nrEpFUYjFYjidTtrb2+sadViuFep0OkmlUjidzizRzWeFmu2FWnd81gqmx6PN66WXXuLYY08iHPYC\n32fr1s088cQqnnji11x88aW4XAF23HEMBx+8H4cddhiHH354zQJdrLEwFawJjopSXU7odnJduVBa\n8+1qXLnhcFgKZitQimAa3a8i6rK8IIxsfD4v1RcvaKM2FqbfUgvTapesyG1VFEV/aDE+TQvXk7hm\nqVQKn8+Hx+PB4XCwYcMGDjzwYNau/RSPx8eECX185StHcu655zJypJXtnQZTyApNJBJ6Cb5MJoOi\nKHmtUONeqFj0jC44+1mYadxuF+ee+z0WL74D+Mq2HzH+ftv+myKd/ojVq99n9erXuPXWe4EoweAw\n9tlnFw499BBOOOEE+i1qUqydx2qPMYU15zuGw1F4LtXs6RaL2C7XlWu2hznUy+KBFMyii7qwZCop\nA5fv5g4EfFRfgL0Nrdee1QSIRCI1GLc6RCQyaPt7xgIExlQREZIfi8Vwu91ZVuUll1zCL37xv2jd\nJ04jlVrLO++8wzvv3MH11/8Sh8PHsGEd7LffJM466ywOP/zwmh+XqATldDrp6OjQLeVK90LFOaoe\na6NkX331VV5++UPgx2jVcczwoBU13xk4bNtrW4lE3ufvf3+Pv//9Nq66agFOp5cddujjwAMn8dWv\nfpWjjjqqolllMlZZmFY8WETrXg3JrPm20dVfqPm2mUt2qHcqgRYWTHGx8wlmJWXgzD7DbOzOzgDW\nCGaoyjHM8FvmkrXKwjRGIoMWGFEoVURRFPx+v37NPvjgAw46aDpbtoSB04HJaFZBP3Dgtk9JoKof\n8tln7/HQQ2/y0ENaa6a2tgC77jqGo48+mnPOOYdhwyrpQjEYEa2bTCazLGCg6F6osDDN9kKt25u1\nMugnSTodBOZTvtuxC/j8th+ANJnMx3z88Qvcfffd3HPPA2zZsr6iWWkPWtUeo3UuWaezsj1MqzC6\ncs22EYyuXNCMCbFWhMNhdtyx/PKAp59+Og888ACjRo3itddeA2DTpk2ceOKJrFmzhv7+fpYuXVqw\nAlI9sV/oWp3JXdSFKy8UCulWZaURo4UF04qemLUQzICex9hojNfC4/HoLh/x9Avo1qP48jocDjo6\nOvRrdvbZZ7P33pPZsmUCcDXwRcxdaF60tk1HAT8EbgauJJn8Kq+/3s2CBb9nxx37aW/vZfz4nfnR\nj35U8XEpikI4HCadTtPe3l40CEnshfp8PoLBIB0dHQSDwW3R1lrkbzgc1vNKrcFKCzMFjMaaPTon\nsBp4HJiEy1W5G1BrZWcfwXS57Ge/CBdtW1ubfv8ZK5c9+eST7LPPPvz2t7/lN7/5DTfeeCMvvPDC\ntjq9xTnttNN4+OGHs15buHAhM2bMYNWqVUyfPp2FCxdaekzV0LKCaWZhJpNJtm7diqIodHZ24vf7\nq3qiyyeYWr5StXuYXrT2QlZjnWBWY2EqikIoFCKVSg26FpFIRLe0hCcgkUgQCAT097388suMGDGW\nO+5YBvw38E3Kq/fpQGvbNAU4A/g5cBOq+mU2blzHH/6wpOxjEtG60WgUr9dLIPD/s3fe4VGUbRf/\nbUvZFHqvCoigItJLqBZEqlIVJSpdERCxYONVAQsqRZCiAipIU0SQ0DWhd0FAhNBCEUIPbJLN1u+P\nJzOZLLvJltkQvuRcFxdKdp+Zncw+Z85dzm30q8hCuYkZjUaioqKIjo6W/W/zXw5TLVK5AUxCTAeZ\nD3wRUEGQuFb5JyQrhUbdIT/ZzklKNDQ0lO7du5OUlES7du1o2rQphw4dYtCgQdSvX9+rtVq0aJGt\n9xRg+fLlxMbGAhAbG8uyZctU/wz+Iv890twm3Lx5E7vdLtvAqQFPhCGU0n8Brm5ATHhXG5GkpV1U\ndUVfQknKAivl70LKVUZGRsoKMy0tTV5bKv6xWq307t2b1av/AJoDPQm85B/ADEwEEmnSpClr167x\n6d3BrtaVroF6FaVqK8xAz2s/MAu4HzF7MhpYG6ALVX5SmOkYDLlf79tlN5kT9Ho9FouFPn36UKtW\nLQA5AuQPkpOT5faiMmXKkJzsX8g9GCjQhCk98QPyRqbmDemJMEVyPNCQbAgQjPYPo3xNAoWv11I5\nq9JTq4gyBKvVamWfWJvNxurVq3n22QHYbCHA60B1VT4HbAbmotfr+fnnZTz66KNev1O6x6xWa7a8\narCQPxWmFf9JxYxQk7sRKv8Vxc8sPj0gLF++HKvVSpcuXWQj/sC3QLXcgtIICbkztmN3D8Amkylb\n0U9OatkXBNIrGgzcGb+hIMBms5GSkiIXTPjSKuILPBOmGn2Ywcg1RpKWlh6EdT1DKtaxWq2yqlS6\n2+RmQGC322nXrj27d+9DVFd2Rp18mQn4AjhF27ZtWbZsmU8btKQqdTpdnveABo78oDCPA1OBEkAi\nUPGWdb25pjabjWef7Utc3FrEOK8BGI3FEOrwFKIqN2eHnRxWR53rlEZYmOd7Nj+N9nKHGzduqNZW\nUqZMGS5cuEDZsmU5f/48pUuXVmVdNXAnfYNVhVarxWg0yhtZMHIE0g3uurao+FKj6CcYxBZOWppa\nrQm5+79KeWNALrBSlrQrDQiUhTKSFeH8+fMpWrQcu3efQ0y874Y6ZLkBGE5o6EXWrFnDihUrvCZL\np9PJ2LFj6dGjBxs2bCAkJCTPyDK/DpD2bS0b8DNCUfYHjnErWQJYcrXc27dvH5Ur30tc3H7gQ0QO\n9AvS0p4BHgcOAlMQxLwM2AWcx/vxeTbUud/SCA9XJxUUbLgj7/T09Fxt/bxF586d+f57USPw/fff\n07VrV1XWVQMFVmEqy/aD0WAvresOojVBjZCsOqHT7AgjLS3QgqTc4XA4SE1NlQnQVwMCk8lETExr\nEhOPA12Bdqjz/Hcd+Bw4R6dOnVi4cKFP7z5//jzt23clMfEEUJO1a18CYomIKE7dujV57LFHePrp\np6lQoYIK53or1AvJwu1RmOcR5GUHdgB1c3htziHZ9957j8mTpyOIsbPiHKIz15XWdiBqCo4jlOwe\nhClIeaBC5p+KgDsFpR5hRkZ6HveXnxSmp3Px56Hw6aefJiEhgcuXL1OpUiU+/PBD3nrrLXr27Ml3\n330nt5XkFxRYwlT+woNFmMq1lccTVWFqhGQDJV13CM8crKsO3LXtSLMqQ0ND5QkH7gwIPIU0J02a\nxLvvjsXprAB8BKgVsokDfiY8PIKlS1dRr149+fjS9BFPm5bT6WTy5Mm8995YHI4HEC0sUlXuDVJT\nj7FlSyJbtsxmzJiP0OnCqVSpPK1bN+XJJ5+kbdu2Xm84V65cYfPmzXTs2PEWwlBXYapJmLl9Niew\nHqEsn0LkLXN7jxWD4VbCPH/+PI880pEzZy7hXS5biyDEikCrzH9LA04i1O1BYAWiMr08wmhdymPb\nEA+vgSKViAg1itPyHoGQ+YIFC9z++/r16wM5paChwBKmEnlBmEqUKFGCwNtKDAROuu4QhsUSHIWp\nNCCIioqSCy9cDQgkU3VXA4IsW7tk4GmgJeqoqSvABCCZ3r17891337k1Nwdk8lQaBpw7d47HH+/K\niRNJwADgIZf1o8nefG+TLeDmzt3P3Lm/ABlERxenQYP7aNfuMXr27Ok2dzN27Fg+/niidEXR6cKp\nXLkUjz76MMOHD8/89/xY9JPTWteAGcAFYDkiWuANREhWGbqfO3cuI0a8icNRD3gVkbP0B0bgvsw/\nIK7HduDbzDWVhOnvIHglbhIREeHxp/ldYean8wsmCgmTvCdMsRGqQZjBILZwLBZv8ze5Q6p0tVgs\nmM3mHGdVArKtnWRUIH0JP/nkEz766FOErd0IoJj7A/qMpcDvREUVISFhLzVr1pTPWzI3l/obXR13\nHA4H06dPZ+zYCTiddRGq0vOmlwU9cHfmH2njvcaNG8cyjcin8Oabb6PVhrB06QIeffRRLl26ROPG\nMSQnXwaeR/ivXsduP8bJk4nMmrWSWbO+QxCTGsUX6nrJet5qdgGzgcbAPnwjOAt6vY709HTMZjM9\nevRh9+6/yHJzUgsOYCXwO9AbWKf4mRV12pZuqpYDDDZcyTE/9YgGGwWWMPM6JKuEIEz/+5QEgkWY\nYQH1ULnC6XTKsyqjo6PR6XQ52to5HA6MRuMtZelbt25HfN5DiOKeykAdoAn+kWcyoqjkGv3792Py\n5Mk5vlo6TynvnZSURPv2T5KUdA4YDDzoxzkoUQzhQtQQ2AnMxeFwkJiYyN69e/nww88QocVRZA0r\nVr4HxPVZAWwL8FxAEKZaLTDuFGYaMAf4B+Gq9Lxf64aFGdi5cyc9evTFYikHjEO9hymAq8A0hAr+\nE1GxG6/4uQ3/K2yVMBEZ6XnaR35WcGoW/OR3FFjCBP9GfPkD17XFGBwH4snb36d4A4GTrjuEY7MF\nrjClsKrD4SAsLEy203JVlVKlrNlslp1r3G0My5cLt4/Nmzczffp0tm7dxqVLS3E6FyNu49KIYdpN\nEMSSU/5rIbCG4sVLsmnTQZ+mXzidTj7++GPGj/8Cp7M+MAx1NkwQTjZzgKPAV8BXjB07npSUdOA5\nhO9tTpumAfXyuWqHZOOBvxB5wruBNYiHnlOAv1NizPz3XxJduvRE5D0fQd3C/93Ad0Az4DAiV7mf\n7NumjawHmECQSmRkeRXWCT6cTme2fHtBmVQCBZwwJXiaW6nW2q4QN5uOwJqeQ/C+9N0XhOFwBEbE\nygkvUs7P3axKyQcVICIiQi5g2b17N1279sJstnDffXfTq1cv+vfvT0hICDExMcTExMjHunTpElOn\nTuX333/n+PHtWK1/IkglGrgLkU9shAibnUH0VaZQunQFUlMtjBw5kg4dOtCtW7dcDZ5PnDjBE088\nxZkzF4CXgAcCuk7ZsRtBlrUyz7M4MIWUlBDgPXxTTWrlMNVSmDZE/rYC4rP9gvDrDcQj9AgwkWvX\n9Ijro2bVcQbwI7AXUbHbT/EzM9mvixX/86RKpMoFcO6QnxVmQSLMAtuHqUReh2QFdARWtGMgOIQZ\nLk/D8BUOhwOTyURaWhoRERGyc5LSgEB6Ms3IyCA1NRWDwSCTpd1up2vXrrRq9SjXrtUiPb0ju3dr\nef31sRQrVoro6HLUrn0/w4cP59SpUwCUKlWKDz74gD179nD9+mVu3LjB99/PpU2bekRHJwHfA0MQ\nXrLvEx2txWCI5uLFcFJTu7JmjYVhw8ZToUJlihWrSJMmMbzzzjvy5AQQm9WHH35InToNOXOmLCJX\nqRZZmhCb8mwEme9GkCUI4nsY38hSrftY7RxmJOLhpTNi2xkRwHrjECHwBogqaTXJ8hRiBNkFRItJ\nP5efm8muM6yoE2FIvWMGMLubhXmnnHugKNAKMy9Csp7W1mr1OBz5kTDDMj02vYcUVpVMxZWzeedd\nYwAAIABJREFUKrVaLWlpadlm6lmtIveqVJVr1qyhV69YrFZXW7s2mX+nYLcfIynpKN9+u5pvv50D\nhFG0aAQNGtRh4MCBdOjQAZ1OR/fu3enevbt8fkeOHGHChAls376HkyeTyF5h2yzzVWYslpMcOJDI\ngQOrmDTpazQaHSVKlMRkuorZbEedXKUSexEhv5rAaaCky881+E6AahKmmm0lysIYJ/4VylxFPEAc\nR4TCawd+ajIciLaiFcBAREjcHdwRpjeFXrkhPUfSyU8Ks5AwCzgKCVOJcJxO70Oy0rQQh8NxS6uI\nlL8MCwvDbreTkZFBRkaG/GUzm804HA6eeKIDe/ceIGdbuyJA/cw/IDaqU1y/nsj69f+wfn1fwCnP\nr+zatSuvvPIKkZGR7N27lyVLfsdmqwyMJ0vBKRGGCIfWyjwHB07nBS5fTgT+RYQApyIqUEsj2g2a\nIYpAfIUJ+AHR3/cZYpqKmlBrYw3WtBJ/CHMRwvXnHuBj1CEpCdeArxHtRZJpvyeYyX5d1FKY6Xfs\nAGY1bfHyOwo0YeY2RFqtY7hbW6fTY7MFQph6xMZjQZ3GaQnhXilMpQGBRIqQswGBVqslKioKrVb0\nzs2bN4+XX34Nh6MYovLVlwG0BkSLSQ3gCcS1uIjFcoyDB//k4MGx/P7772g0Yfz1135E0UwTvCcT\nLaJJvTxZzew3EermKMKQfSlCHb7lw3nvQ/TyVUOE/9T2yVRTYaqZw5RIxpn5x9t71oZwcloP9CX3\nwidfsRfx+2iCeIDJrafSncL0ZWyc53VzyqG7FtrcThQqzAKOYBOmsqBIIhq93kBGRiCEqUFsQpcR\nm7paCCO36lubzUZqaioajSbHVhGlrZ3SgMBkMtG8eUuOHTuJerZ2GoTaWwwcp2TJUhw4kIjdXgOh\nSNR4eo9ChGTTES0GpfC+UjkNoSr/Rqhcb3J4/hCD3c/3uUJNwlRWg0vfBW9/3xURLUBtECFrK+o8\nICoLeyYjDCe8gavCtKEWYd4pCtMdYZYrV+42nlHeoZAwCS5hQlZbiZJoQkNDSE0N1KlHj8jrqEmY\n4XgK9SpnVXprQKDX67MZEEycOJH33hsXBFu7/Yh+PgvlylXl/PmLiN6+hjm+yzekIHKOJ4CZwFlg\nrhfv+xv4Bqia+d6yKp6TEseBBbgPOfsKtQdIKwnTl4cjCyIMexTh8ZoKlEGEzmsgct3F8e0hIQlh\nuF4kc113xu6e4C4kqwZhZtwySFmJ/JTDdIXJZMqxwvf/Ewo0YeZlSDYtLS3bUOTw8FACt7aTCFNN\niFCv2WyWw6yQNatSp9PJsyoBtwYEZrNZHsYtGRAEz9bOgijQOEiZMmW5dCmF8+dLAyNRx/EGBHls\nQyiS+gij7mhEW0RO900awhN1L2JSxut+HNubdicHgrg3Ubx4Sa5eVSN0p2bRj6vC9PX33hyokvnf\nqcABhMfrfkTvqgFBnDUz/66Ke3XsAFYDvyHyodN8PA8QhKm8vmopTEvmUIb8DWmfdFWYd4o6DhQF\nmjBdEYynOMmLVKPRUKRIEVmBRUSEo4493pVAT9EFGsDA9evXKVu2rOzAY7FYiIiIcDur0tWAwGAw\nZBvGPXr0aKZMmYX6tna7gVmAg1KlKpGcfA1R4ZjThAtfcR2hKk8hVOKzip9p8UyYBxEqtCLuZzl6\nA2/uxbOIwqFUxo4dS2RkJCNGBNLfqIRa24OrwvQFrmPGIhD5xiaKnychHKA2A6sQDyrlyFKh1RDX\n8mtECmMDEIN/cBeSDZQsrIAzmyuWsqrc3QCH/ITCHGYBgzLnptZNKVWP2mw2tFrtLSGLqKhwAleY\nIYgNXW0IwixevDipqamEhITIqlJZ1JObrd2JEydo0eJhrl83keXvqcb1NQMTgaNUqFCB//67wqVL\nlRHFN2q57rhTla6KVYdQ+IcQm7MWkd9cgPBIfR8YrdL5uINwLCpTpjw7dhygVKlSzJo1C/VymGoq\nTGktX0Oyub1eizCouEvxbyayVOhehAq1I0jyAIF5v7oqTCuBRzLSAeGdLD2IKmfCSkVydrs9W9rj\ndsDdHmkymQoJsyAgGH6y7qpH09LSbnldkSKRqDNEOiXANdwhVJ54rpxVqVSV0vWSWkVcbe369+/P\nggVLEc3qfVAnbAWwFZiNVquhePFKnDuXgmjLuC+X9/mC64jKyaTMv/t4eJ0WsRF/jdg4iyDUTWVE\nG0rlAM/DUx/mRYR5wjVGjRrFBx98IP9EPceqYBb9+ELo/gyyjkRU0zbN/P80xIzTBB/XcYc0sm+b\ndkR4PvA1nU6nPAVHKpCTiunMZjM2mw2LxYJGo3GrQvMC7gizUGEWQKhBmO6qR6UcnyuE4rwQ0PGC\npzBDsuUl3KnKnGztHn+8C+npDgSR3a/SOUmb3kkqV67CmTPJXL5cHeiBOtZkIEhiKzAPoYa3kzPR\naxEk2Q/x4LIJQWaHVTofEOq1HqLQBcT4q2UULVqc7dsPU6mSL604viIYbSW+EqaTwCuo/SFdT3BH\nmDlbKnqzpkajl8fJAbKSlKbmaDQawsLC5H1Keq1ShUpkq9Vq81SFFhJmAYW/hCkV9VgsFrmoJ7eC\nItHoezqQ00UQ5o0A13CHMNmNx12riNlsxmKxEBoaKn9Wu91O9+7dWbs2HhH66oE6Y49AtHDMQ683\nEBVVntOnbyByoTVVWh9E8/q3iN/Jd8AzXrxHR5YCLIIgtVujCYHhMCLUrEXk727ywgsvMHXqVLev\nFvdafgzJ5qXCdHd8tQgknWAQplaru6U+QCJPabScRIzSH1cV6nA4sFqtcug2GCrUncK0Wq3yFJ//\n7yjQhBloSNbpdGK1WmWjcWVRT27rCvUWaEg2BNFMrzbCuH79ujzmSyJLpQFBZGRkts/aoEFjjh49\njJhEUQt1bq0biMHOZ6lQoQLnzl3k2rXaQHfUGdoLghi2IKpZGwI78D587LoJa1B35JqGsWM/ZMCA\nAcyYMYOtW7cyduxYatf2bAmnTkhWul/VUmVK0rsdClOt3lTITphOxOcJtOhHKEyTyXTLcHKplUvK\nY0rkCFkqFMg2Dk8i2GCoUE91Hvm1IEltFGjCVMJXwpSKeux2OxEREfLTnie43mjC1SP/EubNmzfd\nGhCEhYVhMBhu+YJMnvwl77//PgcP/kt6+teIzSQC0Q7wIMJGzpc85irgZ8LDjaxenUDr1u0Qm248\nYkxUOcQ8zKY+rquEUlXORrS7+AJXQgnOphEZGcmoUaO8eq06ClP6HqilylyLfnwlzECJ29WaLxAo\nCVMi4kBD1+nodHoiIiJkkpMGlAPodEJ9SqToToVKf0tK0lsV6kqivhJfQRoeDYWEKcNbwpRCklKf\norJ9wtO67iAUphpVsqYA13CHcK5evUp6ejoajQaLxYJer8+mKo8cOULx4sUpVUrMMmzZsiXx8fHy\nCgkJCXz99dds27aDq1cX43QuQGws5cjyYXXXanEVoSov0LNnT+bMmQOAVmvAbn8GQY6nM/+sR1SK\nRiBcYO5F9OzlNr1CUpXzgMb4piqVcG0rUZMwdyPaUW4H1N4E/Q3JOvC9qtbT8dUkTElRqkXEaej1\nOpm4lGmPsLAwOZJlNpsBblGhUkpEIlLAJxXqcDjIyMjIpkKlv6X1le8rVJgFFL6GZN0V9Xh7HNcb\nTTQpq1Elq3bODMAomw9IVbFSkY/ZbKZ160c4ceIE4ESjCadMmSK0bNmc4cOHU7eu6IFs1aoVrVq1\nklc8c+YMEydOZO3atZw+vQG7fRVisymOcHJpBJwElhMZGc2ff+7KFnoU186OKOG/j6yqWAtwDjFn\n8V8EieoQvZ53IYp3HiDrVpdU5RnE6K9eAVwndyHZQEOiVuB/wCQGDnyWV1991ad3iw1TDYWp5gbo\nwHeFeQ7oiToKU03CNJNluG9Vad00DAZxfaTvmUajkX2XJUiE6KpCJfLU6/VyLtEXFepufakiV3q9\ndAxpP5AgHb+goEATJng34kvZvO9a1OPLMZQoUaIE6ijMYBT9hHPjxg30er3s9uN0Ovniiy/43/8+\nQSjDcUAUTudxLlw4yuLFu1m8uBWinyyChx6qTb9+/XjyySfR6XRUqlSJL7/8Uj6CxWJhxowZLFmy\nhH/+2Y/ZvA2A55+PZdq0Wx1YtFod7i37Qsjqw2uJ2JAvIRRoEiLUakaoghKZ/9YU/1WlEu5CsoGo\ns4NAd6Kjb7Jq1Tr54cMXqBMiCwZh+mKNtxR4nsaN67Jjh1o5TLU2daX5unoKMyTEIBt/KIvplJAK\neZQEJalEieAkUvRXhSrX96RCpfNas2YNVapUwWgMvPd59erVjBgxArvdTv/+/XnzzTcDXjMYKPCE\nKcHVJB2yz3mUmvf9SZS7I0yhMNVw+jEHuIY7GLFYLISHi3aNCxcu0KxZK5KTLyGqR1uQtaHen/nn\nKcQGcoabNxPZuPEQGzcOJjZ2QObIrYrZRm6FhIQwbNgwhg0bJh/Vbrd7fFoV190b9aZFVKuWIctH\n9iaCQFciZlpO8uFa5HYs15CsPwrTjnDrGUvv3l355puZfrcFqFv0oxa8zWGagCFotb/x1VefEBsb\nm9l+pUYOM38TZmionoyMjGwtWt5AajtxzW8GS4UqC5AWLVrEzp07MZlMdOnShaZNm9K0aVMaNWok\n7x3ewG63M3ToUNavX0+FChVo2LAhnTt3platWl6vkVfIH/Ni8gFcSc1ut2MymTCbzURGRhIREeH3\nJuaOMEXuL78SZoScL3nrrbeoVq02ycnFEVM/cvKA1SOU3mPAqwivzo+wWLpz8GBRxo6dTpky5YmK\nKkuNGvewdOnSbO/OaaMQ197f+Z9SGDcadYcOuwvJ+ko2x4BGhIdPYtmyn5g48QvMZjMZGRkee3hz\nR34Pybr7Hu0CalGx4k6OHv2L559/XvHZ81MO05Uw1SDidMLDQ4iMjAw4vCmpUOFXHU5UVBTR0dFy\nD6fFYsFkMmEymWTFKBklhISEyPlLiUStVitWq1WutAXxXQwPD2f+/PksW7aMTp060adPH5KTk3nz\nzTf5999/fTrnnTt3Ur16dapWrYrBYKB379789ttvAV2HYKHAK0zXkKxrUY90owUK142vTJkyeD8a\nyhMMBJ4HdYcILl06TvnyVUlJSUUYVTfwYx0NYhpJabKG8t7E4ZjCf/8d4/vvf+Cpp57yaiXPIVlf\noCXwMLgSgYRknQiHoDdo3/5hFi78U84RKUNsDocjW3hNamL3uKpqIVk1kVNbiR3xIPYxL730PBMm\nTJB/IhyyNARO3kqFGyiCQZhpREWFBq1wRi0VKpGmVGmr1Wrl0V49e/akZ8+efp3fuXPnshlwVKxY\nkR07dgT+wYOAAk+YEqSQ7I0bN9BqtT4V9XiztiuyvGVt+P9rMKBu35+ESDZu3ISoIFXT1u4kwgPW\nxMiRIxk1ahQmk0n+kkpPt+6g03kbks0JahOmu5CsN2RzFniakJDDLFjwI48//rj8E2nTkjYs5caW\nkZFBWloaWq1Wvl4SgUr3mHohWbU2b+l83OUwTwPdMBpPExcXR8OG2UexZRFmoFAzh5mB+oRpIixM\nLVel3OFPLhRE3YGkQkFE4ZYtW8a5c+cCPp87BQWeMCWilEJgkneqmr9EzwVFOsQGnt8I04hozRik\n0noOhHvOVipUqMT27f9QvHjxW76kklG9OwIVX9JAFaYOdRW5ryFZJ2KI9FBiYhry229Hs41Qc3sE\nD/10UrjMtdVAbHRq9WGqASnPJ5GwRJgLgIG0adOMpUvXuXWKEdaLaoRSA3kodYWSMK0qrLsU+Ioa\nNboHuE5g8KRCbTab3LcJcPDgQRYvXky9evWIi4ujfPnyLFiwIKBjV6hQgTNnzsj/f+bMGSpW9Ge6\nT/BR4AkzIyODmzdvotfr0Wq1QbF48kSYGo0OpzMQwgshOIQZjnpOOkeBSWg0GYwdO44RI0bIP8np\nS2qz2WQyEKbUgeQwJWhR93oprfEgZ8K8CMSi12/n22+n0qNHD7+OqLxmoaGht4TXJEvDwKCmwpQI\n82OgEuJh7AZa7WBmzZrE0097NotQjzDVDMkqH3ADIWIzMByN5iemTfuM2NhYVc5OLUgFP5LblzQE\nvkSJEoSEhDBt2jQSExMpXrw4ly5dIiYmhqFDh/p1rAYNGpCYmMipU6coX748ixYtCpiEg4UCT5hS\nv5NGo+HmzWC45uREmHqczkBChAYCJxF3CFNhXRtiHuRu7r67Otu2bcl1KrsyVKSchGIwGDJJVQ3C\nDLbCdBcSXQq8yIMP3svq1YdVNap2Da+JB778pjA1xMevZfHixaxevR6zuSxbtvxJ6dKlc3yneGBS\nizDVCnm6EqY/6x4DOlKihJlNm3ZSpUqVXN+R15CczKTWMmkP++uvv9ixYwfz58/n3nvvJTExkW3b\ntnH6tP++2Hq9nqlTp9KuXTvsdjv9+vXLlxWyUEiYhIaGysnsYNk8eSJMnU6PwxEoYQZaOOQO4QTe\nTzgVjcbGpEmT6d+/v0/vVk5CkZq3Q0L0BJ7D1KG+wlTCVWFeAwah1a5m0qRx9OvXT8Vju0f+y2GK\nCtWGDRvSsGFDFDU9uUJdhakGYToRhCn93v0hzJ+AgXTt+jg//jj3ts62dAelq1B4eLicCrBYLLz7\n7rukpKSwdu1a+eH3nnvu4Z577gn4uO3bt6d9+/YBrxNsFHjClKCsklU7Ce2uxxMEYVqt+VVh+rPx\n2oCvgL+pXft+Nm6M96kfS1KVrpNQgEwnlPwWks2p6GcN0IcaNSqydu3fuaopdRHo/avWTE0QBU7+\nnY+6ClONVEsG4jsnnZMN71MXaYge01/57rupfleUBhOSZ7Tkjy1FLc6ePcvAgQN5+umnGTBgQL4j\n+bxEIWFmIpiVWp4UpsFgwGzOj4QZju+b5l5gBlqtk2+/nU2vXr5ZziktwVwnoYCahKl2lawdOIFw\nP5Ls+/qh0Szmww/fZOTIkSoeL3fkH6cfqcDpZZo1a+zXCoIw1ahCtaEOYZrJrii9XfcfoBNly2rY\nvPkvypUrp8K5qAspBKvT6WR/bKfTyYYNGxg7dizTpk27pYq5IKLAE6Y7P9m8KnMODQ3l5s1ANvAQ\n1FUDEsLxnpzMwBTgMPXrN2D9evcVj56gVJWeJqEAhIYayI8hWY3GicHwGxbLTURBi4UKFTazYcPu\nIA93dg/1vGQDwXXgBXS6P5kzZzrdunXzaxXRVqKWwlRjNquZ7ARpJffh5bOBYfTo0YkZM6ZhMBjy\ndI/xBpIlX1hYmPzdtdvtfPLJJxw6dIjVq1dnOpMVosATphL+zMQMZN3w8FACUzzS03caYrNWC96G\nZLcBs9Hrtfz002I6dOjg01Gkp1p38zVdIQgzUIWp9rxKLWFhoVy+fJqrV68yb948kpOTGTdunIrH\nuB0IRGFuBLpTo0Z5/vjjoF8brZRHS0lJQT2FqUYvsTuF6YmITUA/dLo1/PDDLNq3by/f776aUQQL\nkkmLzWbLFoK9dOkSgwcPplWrVixdurRAh2BdUUiYCuQ1YUZEhBF4iFAHXAYqB7iOErmFZNOAL4Hj\nxMS0IC5upU8mD96qSiXUIUxQmzClX2vx4sWz+eLe2fCHMK3AO8A0Ro16ibfffhu9Xu+zmpIGHWQV\n4eU3hakkTCvCbtEV+4HOVK5sJCFh3y3569zMKPydTekLHA4HaWlpcgpEOtaOHTt44403+Oyzz2jT\npk3Qjn+nosATpq8jvvw9hrt1o6ONBL6B61GfMHNqK0kAfsRgMLBs2Upat27t08q+qEolRLVeoL65\netSrKrYCv2K3B8Oa0H/cnpBsIvAk0dHXWLv2D2rWrOnW2k/62xMR2Gw20tLSMBgMGI3GzJ5StRSm\nGn3F7ghTGZJ1AtOB1+nX72mmTJnidpWczCiU/cfKa5bTdfMVVquV9PT0bIV1DoeDGTNmsGbNGn77\n7TfKly+vyrH+v6HAE6YSeU+YkYiBtIHAgGhfUBPhiE1mJFADMfWjOsLW7jSPP/44ixcvDrqqVELk\nVlJ9+RBuoFaV7D9AdyIjr7F48Y/ygG3XYbt5AbPZzJo1a+jQoQN6vT6P20qciNmir9K582PMn/+D\n/ADkau0nEYHdbr/F2g9EHk2akCMRSUZGBuoQph31CFO5ZVrJSoWkAH3R6zexZMl8HnvsMa9XdTXw\nAGQDD8mMQprkowzj+hoqVX4HjUajfLwbN24wdOhQqlWrRlxcnHz9C3ErCjxh3k6FGRUVhfiiBYJg\nEGYY4KRRoxocPHiYtLRdgJOwsAji4v6gcWPfqh5tNps8FsgXVamE2IDVKPoJRGHagS+AD+jRoxOz\nZs3I1rcGZCOCYIfVNm/eTOfOvcjISAfsREaWoGjREALvOfSGMK8gCGIr8+Z9R6dOndy+yhtrPyls\nK6kd6f/VI0wbuRfneANPhLkb6Ey1aiXZuPEgRYsWDfhIrq5juVki5qZCXUOw0nfw0KFDDB06lNGj\nR9OlS5d8VYyUH1HgCVOJvCZM0fwbaEjPAFwNcA1XiCrZlStXysNjz58/T9WqVX3KSwWqKpUQm0eg\n4dRAFOYJoBfh4UksXfoLLVu2lH/ialHnTzjSFzgcDoYMeZl58xYCXYDHgZuYTImYTCsDXj/3kOwG\noBe1a1dh3bpDPhGEpKaka2Gz2QgJCUGr1cqtRdLkjNTUVNTzklUrh2kCDiNs/qyIQeQ/MGxYfz7+\n+GMVjuEeuVkiKieOuOZCpVB3SEgIoaGh8n70008/8cMPP/DTTz9RrVq1oJ37/ycUEia3jvgKFpRE\n43A4Mpv6Ay360RO4SnVFGGCTJ6k7HA6MRmO2sJryi+muyk8NVamEIMzbYVzgBGYAr/PYY61ZtMh9\n24zSoi6ncKQypJbTdBZPOHr0KA8/3JGrV23Au4iNG6AIYgTbKUTIOBB4UpgZwFtoNN8wZszrvP76\n6/6trmiQdzcD0ul0YrPZVFSYGailMHU6M+Hhf2AyXQUc6PURrFiR/QEqL+Bp4ogUxpWGGUh7msFg\n4Pz581SqVAmr1cobb7yBTqdj3bp1uQ4A8BZms5lWrVrJD8ldunRx+xAxbNgwVq1ahdFoZO7cuTz0\n0EOqHD8vUEiYCgRTYUqQVFd6enpmyb0aCvNGgGsocQ0YgkaTlfPxFFaTNjXXKj/JPD1QValEaGgo\n6kwr8UWlngOewWA4yPz5c3xum8npukkjlKSNT0mgnq7XuHHj+PjjL3A6WwPdcB96jUSMzVoIVEEQ\najl8Ix53hHkYeJJixdL444/NftuhKQt7lNWZSmg0GgwGQ2Y+Vg3CdKCWwixWrChJSX9js9lYvnw5\nbdu2VSUEqwak6yZdu7S0NJxOJyEhITgcDmJjY0lMTKRo0aI89NBDDBkyhIyMDNUIMywsjD///FN+\nuI6JiWHz5s3ExMTIr4mLi+PYsWMkJiayY8cOhgwZwvbt21U5fl6gkDDJrjDVKZpwfwxJdTmdTqKi\noihVqhSBE2Yo6inM34AXqFGjMmvW/O3xVe6mjEi5FckDVvq8gCpl8uopTG8I0wnMA16iadP6LF9+\nRFbbgSCnQb45VUdeunSJRx7pyPHjZ4ARwL05HOVxhNJMBI4AcYh8YwWEG1GlzD85bZJOl/8WlZ89\nenRi9uxv/YoWKMPzysKenGCxKH1bA4EdiFBhHXOm45TIHXo7/DyvoXwoURqnv/HGG0yfLowkzp07\nx/jx49mzZw8//vgjTz75pCrHlr4n0gOhax/u8uXL5cksjRs35vr16yQnJ1OmTBlVjh9sFBKmAsFS\nmNKaJpOJ8PDwTLUERYoUIfCQbAgQ6JSVS8BAtNo/mDBhDIMHD/Z5BavVitVqlavvvCECXwhUPAXn\nRUj2EvA8Ot1WZs7MefxUoMgtjGu1Wpk/fz6jRr2Lw/EAYkSWN8RdMvNP08z/T0NMyEgEdgFLgBJA\neYQKrYwI6Uq/D6k15RJCYe9l4cLsg659gaR2AJ/C8/mr6OciMBO9PhhWlOrA6XRisVjIyMjI9lBi\ntVr58MMPOXv2LL/99lu2aTnKWZdqwOFwUK9ePY4fP86QIUOoXbt2tp+fO3cumwNWxYoVOXv2bCFh\n3okIBmHabDZSU1NxOp1ERkYSEhIiK7JixYqhDmGa/HyvEzHIdwgPPFCTuLhDPjuzSKpZ8qBUDnx2\nJQJlfkVZoOBNQYw6IdncFOZvQCwPPHAPq1f7VsyiFqQwrt1up0uXHmzfvgt4AdHa4y+MQJ3MPyAi\nEp8B/yIiFH8iClqqAHeRNQWnJg8+eA9r1x7OdTSbJ7jr+fPlvflDYcYD3XjooZqsXbtNhfNRH56M\n0y9cuMCAAQPo3LkzEyZMcOPRbFC1jUSr1bJv3z5SUlJo164d8fHxt/Rqu+6xd1JlbqHnEVm/MDUJ\n0+l0kpqays2bNwkLC5NvYEk9OJ3OzJBsoH2B/hLmeeBxdLqXmTHjM7Zvj/eJLKUvaFpaGmFhYRiN\nxhyVg1QmHx4eTlRUFNHR0bLSNpvN3LhxA5PJRHp6Olar9ZbQuHitmcB8TnW4J93rQG+02ueYOPF/\nbN8ef1vzUhs2bKBcubvZvj0ZGEdgZOmKHcD7mWueAbYgioScPP98E6pUOY5Wux6w8/HHb7B16x9+\nkaXT6SQtLQ2z2YzRaJSrM32BuiFZfxSmHXgP6MCYMa+wefN6VULzasNut2MymeSWEWme7MaNG+nV\nqxcfffQRw4cPz1OLuyJFitChQwd2796d7d8rVKjAmTNn5P8/e/YsFSpUyLPzChSFClMBtQjTYrHI\nw1eLFCmCVqslIyNDzulJ+bwSJUqgDmH60tDvBOYAw2nYsC7Ll/s+0FjKkej1er8rYJUFCnBrQYzN\nZkOr1coqtHLlykAyQhlVAe5GhBJL4/1znzuFuR54mmrVyrFu3f7bGhpyOBy88EJ/fv75V6A78DDq\nPdPagGmIsOw0oC9ZIVgnoGPatGmqHMnd5At/oK7C9JX0zwNPYTSeZN26ddStW1eF81CrIKtWAAAg\nAElEQVQfnozTJ06cyI4dO4iLi8t8MA8+Ll++jF6vp2jRoqSnp7Nu3TrGjBmT7TWdO3dm6tSp9O7d\nm+3bt1O0aNE7JhwLhYSZDYESppSrsdlES4Yy/KrX6+WbWyqCycrLBWJ2HYL3fZhJQF8MhgN8881U\nevTo4dORJLNmq9XqdeGGt/BUECNV3Hbo0IFz55LYsWMHS5cuZePG7Zw9+ycOhw1R0HI3gkjL47lx\nXxrHBeIhYwQazULGjBnld4uEWjhw4ADt2nUlJUULjEF8DrVwEkGSlYEDiLCrEuoUuilzaMoN3F8I\nhamWl6wvynAt0ItGjR5g8eIdGI1GzGazqr20gcJTCPbq1au89NJL1K9fn+XLl/vkxhUozp8/T2xs\nLA6HA4fDwXPPPcfDDz/MzJkzARg0aBBPPPEEcXFxVK9enYiICObMmZNn56cGcvzNO4PZlJiPICkb\nh8NBSkpKZm7Re0gbhdQcrOxfVA6llqpw09PTZQVVtmw54G38d2fZiei9O5TDaxyISsc3adWqKT//\nvMDn0JKUi9Lr9YSHhwd901i6dCm//vorffv25dFHH5Wvo0SgkqHCsWPHWLx4MRs2bOTYsVNYrakI\n1SkRaCWywnF7EJWjc4AelC8fwfr1v1GlSpWgfpbc8P777/PFF1OBR4CuqPscuxDYBLyO6Nt0XfsC\n0JOQkH+4du2030eR7mun05lreN5bdO7cmQ0bzMCjAa70CeIaNMjldTZgNBrNdD755H2GDh2arQhL\nMglwtfbL62keSgWv/C7u3buXkSNH8tFHH/HYY4/lC2K/U6HxcPEKFaYCksL0ZcKCcmRPVFSU7IQj\nPWVpNBr5C6UknaioqMx/1yMKf/wlTAM5t6YcA/oQGnqC+fO/p3379j6tLj3J2mw21VWlO1gsFlq2\nbMOBA/8AVVm6tBegITzcSJ06NXjuuefo27cvOp0Oh8NBnTp1qF27Nu+9JzazK1eusGTJElavXseB\nA6tJT09BVIDehVAa/wGPMnLkYD766KOgfpbccP78edq2fYLTpy8CryF8e9XCNYT3rx34A3BnZ7gC\neI569WqzePEOUlNT/XIlku5rpZOMGhAhWTXIyEHuRT9ngC5ERyezYUO8XN3pjbUf5J0loifj9Nmz\nZ/Prr7/yyy+/3JY5rAUFhQqTLIUJIqRRrFixXG94pQFBWFiY3PwrESWQTVVKc+dcSSciojjQG6iK\nf2HZg4hCDld1YEeM4Pofjz/elgULfvQ5RCZ9OZX9XMHE0qVLiY0djMNRHBiCaLh3IPJJRxEq+giQ\ngcFgpEaNCjz55JMMGzaMyMhIWYGazWb5d2A2m/n999/5/fff2br1LzQa+OOPuFvK3fMas2bNYuTI\nt3E66wPPoI4TjYR44BeEWp3Orfm7NGAYGs0ivvzyIwYOHOhWSeXmSqQM0SvNvNXCI488wrZtoUDr\nAFcai7A29EQkK4A+tGnTlGXLlvj0OVx7aaXIR25OWL7C07U2mUyMGDGC0qVL89lnnwUcBi+EgCeF\nWUiYCJITT7Nw7do1uVDHE6RWEY1GI+cPXFWlpFaltgtPpHPvvXU4e/Zs5lzFymSFEsvi3dP1UYS3\n5wXFv/0D9MZoTGbx4tk+z7VTqspgbISusNvttGnTlj17/gY6AU+Q82e/gvjchxGf9TparZGKFUvQ\npk0rRowYQY0aNeS1lZsZkK2VJdgG6a4QfWqNSUw8DgwE6qm4ugWYDJwF5gLumtH/ArpSrlwIf/75\nu0c1oizCkv5WFmFpNJqgh+hbtGjN3r3RQIsAV/oAked3rXy2ACPRaL5n8uTx9OvXL8DjCCg9XqXr\n5xrG9WWyjdI4PTw8XN6b/v33X15++WVeffVVevToURiCVRGFhJkDlIR5/fp1oqKi3CbLJSKRGoOl\ntghPqlIykg4PD8+VdHbs2MGCBQtYv34jSUlncDgsCGeWamQVs7hb4yTiCfkKouL2E+ATunXrwOzZ\n3/pMdnmtKleuXEnv3i/gcBQBXkIU8PgKE6L681+ECr2ARhNGsWIRzJr1tRyGdlUDSieiYMwddIfd\nu3fTqlUrRChdBxRHhIsbAffjfwjyMPANcB+wiFuLhhzABOBD+vfvw+TJk3xaXVmEJfXRQvaHD7Wv\nXf36Tfj339IERphOBGFayf79OQF0plixFBIS4oJqPu4671J6cPPmvnMX7nY6nfz888/MnDmTOXPm\nULNmzaCde0FFYQ4zB3gz4stqtco5HkmBSl8EZVGPVABkNpvlAiBvNpHGjRtnG5v1zz//MH/+fNas\n2UBi4k5stjSE6qyGCN9WRFTISk3m+4BeREbe4KefFtKkSZNshJDbOSjDxnmlKh999DF27NiLUJQd\n8b+FIBJ4KPMPQBpO53iuXj3Hpk2bZML05KwTiKGCrxDh+DDgDYSTzmlE0dZMhOKJQjwg1UP0Subm\n8+kAvkeMmPoQeJVbSfcc0JOwsERWrPiNZs2a+Xze0v0tGXpL7SKerp0aociSJYshwsu7EPf8XYiw\nagm8T1/YM1+rvJ9/Bl7giSfasmjR/KAX7bibNOJqlO567bRaLVar9ZbZlRkZGbz99tukpaWxfr16\nfaFnzpyhb9++XLx4EY1Gw8CBAxk2bFi218THx9OlSxfuvvtuALp168a7776ryvHvFBQqTLKqXEEM\nU1XmGSWlaLFYiIiIkFtF3KlKaTwRQHh4uKol3WfOnGHevHnExa3h0KFEMjJuIOzPSiPUlY5nn+3O\n9Omil85dPsrTRpbXqnLdunV07/4sNlskQlWqWaRwBJiEVmvjm29m0rt3b5/erdzIpL8DnTCixN9/\n/03Tpq2B0W5+ep0sAj2JMNWPRDwo1QGakT2smAxMQrRMLAMecLPmUuB5mjdvwPLlP/tttO3NPeLu\n2gVaUWqxWFixYgXLli1j06bdXL6cnJm+qIQg0MqIXLenB7wM4FMEcZqBoWi1i5k580ueeeYZn84l\nmHB37UA8YK1du5Z7770Xo9HIoEGD6NOnDwMGDFD1e3rhwgUuXLhA3bp1MZlM1K9fn2XLllGrVi35\nNfHx8Xz55ZcsX75ctePmVxQqTC+hVJgWi4XU1FRCQkJyVZVmsxmLxeKXBZg3qFSpEqNHj2b0aLHR\nXr58mYULF/Lrr8tJTCzG8uW/ZGuu9ma6iFRpKo3vygtV2aFDRzZt2g60Azqj3i3oQIQkt1OjRk22\nbduSOT7NN/hqqOBLPkqKPHhG0cw/koVdOqJ6MwnRFvELojioZObrEoFYRHGXKxGagCFotb8xdeqn\nsuG1r/ClsMfTtfO2onTVqlX88ssv9OvXj6ZNhQ9uSEgI3bp1o1u3bvJxdu3axcKFC9mwYSMnT27D\nZkvHcyuRHaG4jwIdKVXKyqZNu/JdJal07TQaDRaLhZCQEAwGAzabjRUrVvDGG29w5coVGjVqxLVr\n19i8eTMNGzZUbdJI2bJlKVu2LCD8fmvVqsV///2XjTDhVlu7goZChZkJYfQsqs6kEVVSU7DBYHBb\n1ANZbSVarTZbQj4/Q6rwzcjIkAk/2L1l8fHxdO3aG6s1DKEqq6q4+ingcyCdCRM+5aWXXlJx7exQ\n5vKU1dU5tRUom8yTkpJo3LgFovfWV1gRFcNJwEZECPYtN6/bBTxFpUoR/PnnSsqVK+fHsdS/tz1V\nlOr1ep5++hk2bNiIyGGfBfQYjeHUqXMPffv25dlnn/UYsTl37hw//fQTq1evZf/+I6SnX0eEtqsi\n1PkGIIRu3Toyd65/01aCDU/G6TabjY8//pgjR47wwQcfcPjwYbZu3cqWLVt4/fXX6dmzp+rncurU\nKVq1asWhQ4ey2SImJCTw1FNPUbFiRSpUqMDnn39+26vNg4XCop9ckJGRgdPp5ObNm/IsR0mhuDMg\nUI4rUnPuY7Ah5SrtdrtcjOTqqqNmNandbufJJ5/K3Aylxny1ejkdwHzgDypUqMSuXTsyJ8DkHTwZ\nKijzn1I+OywsjCNHjlC/fmNgJL65z7hiMjALYaEnwY6YaPIxL7/8Ip999qnfn0lShMGKmEhISkqi\nUaMWmEx2YBgizOpAkOYxRBHXUaRWorvuKkvnzp0YPnz4Ld7H0nfy+vXrrFu3jri4ODZv3kNKyjXm\nzJmRTaXmJ0i+u66mDxcvXmTw4MG0bduWUaNG5QnRm0wmWrduzbvvvkvXrl2z/ezmzZvodDqMRiOr\nVq1i+PDhHD16NOjndDtQSJi5ID09HZPJhN1uJyQkhIiICI+qUjmhIywsLF8+sbpCuQnmlqvMrZrU\n2+bsbdu28cQTT2GxGBCq8m4VP9F/CF/ZG7zzztu8/bY/ii04kB4+MjIy5Dy3dO1SU1OpXv1+LJZU\nhAq6G6GEKnNr20NOcCXM00A3jMYzxMUtomFD/wzblWrYaDQG1VptypQpjB79ASL3+gI596JeIasS\n+jBwBY3GSJky0bRs2ZwRI0ZQrVq1W1ov8jskFa/X67N9J7dt28Zbb73FhAkTbpn2ESxYrVY6duxI\n+/btGTFiRK6vv+uuu9izZ4/PE47uBBQSZg5wOp1cunRJLuhxOp2EhYXdUtQTTC/VYMLXFhdPayjD\nkEoV5a6atEePHsTFrQfaAN1QT1WCyOWtpESJUuzcuU3OveQXuIYypYIwpQq1WCzExcXx+++/s23b\nPq5du4S4RlXJKmYphec2EyVhLgAG0rZtc375ZaHfzevuBg8HA3a7nRYtWrN//yHgWaA5vpt2pAHH\nyTK0OAMYiIw00qZNMxYuXKjqOasN5QOs0nfX4XDw9ddfs379en744Yc8u7edTiexsbGUKFGCiRMn\nun1NcnIypUuXRqPRsHPnTnr27MmpU6fy5PzyGoWEmQssFsstxTuSLRbkfSWpGlB+KdW2LXNVoFJZ\n/P79++nUqQcZGVqEqqyuyvEEriAqHi8zZMhgPv/8cxXXDhyu5uMGg4G//vqLt956i/r16zNy5EhK\nlSrlti/P4XCwZcsWli1bRkLCdv777z+cTjuigEUqZlFWg05GFPusRqtdxaxZX/o97FqZXgj2g+C+\nffto0+ZxLJYIRAjWv/zqrbAhXK+motHA1auX863rjScVn5KSwtChQ7nnnnv46KOPgl6Ep8TmzZtp\n2bIlderUkfeI8ePHc/q0cBAbNGgQ06ZNY/r06ej1eoxGI19++SVNmjTJs3PMSxQSZi6QKiClUJqy\nuVjKYRY0VekLnE4nzzzzDMuXr0Y0mvdADCdWC6uAJURFFWHr1k1yL1h+geTGAsh5qCFDhvDDDwuB\nexEtIJfRaIyULVuU1q1jeP3116lZs6bHEPjhw4dZsmQJGzZs4sSJU5nVoGUQBLoXcHLXXXfzxx+/\nU7p06YDOOy9CmaNHj2bKlJmI9pinUTfqsB34hoiISP78cz2VK1f221knmPBknH7gwAGGDRvGu+++\nS8eOHfPFuRZkFBJmDnA4HLz11ls0bNiQZs2aUbRoURwOB2vWrKFJkyZylSzkncmyvwimqvSEmzdv\nUqVKDTIypMINNZ1HbiBU5X88/fTTfPvttyquHTjcXe///vuPxo1bcO1aKjAY4b4Dok3kOKJX9CAi\njBhK0aKRNGlSj1deeUXOV7kLgScnJ/Pzzz+zdu0G9u8/RL9+zwaksqU2l2AX9qSnp1O/fmOSkv5D\n2AGqOVvSAcwAdtG2bVtWrFjh0Vnndn93lbMrpSJBp9PJ/PnzmTdvHnPnzs13D4IFFYWEmQMcDgcb\nN24kPj6eLVu2cPXqVaxWK3a7nTlz5nDffWLDc62GdDqdPhfCBPtzSKoy2AUbSpw8eZKHHmqI1ZqO\nyLmVBGohclPV8X/WZzzwI2Fh4WzYsDbfDfFVVhxL13vixIm8++5YhKrsR86Di22IlpijCAI9Dmgx\nGo3UqXMPzz//PM8884zsVayWoUJeFvasW7eOp556BoejLDAU8G10Xs64jDBWv8mMGV/z3HPPuX1V\nTu0s/kxn8RVSqkdy0ZKud3p6OqNGjSI0NJRJkyap1lNZiMBRSJhewG63M2XKFMaNG0ePHj0oX748\nW7du5fr16zz44IM0b96cmJgYOfHtqRAmr3xJJdwOVekOFouFr7/+mkWLFvHvv8ewWNIQt1gx4B6g\nCaIiMreNPQ3RV3mSJ554giVLlgT1vP2Ba4GM2WymceNmHD+eBDyHCDv6+jtwIKp/jyJM5Y8AFvT6\ncB544G7++OMPOS+Xmzm6pzCkssI72HNNX3jhBRYvXgY8DnRBnVFdEjYBcyhatDj79u2hVKlSPr3b\nn+ks/kAZ8lbaZB4/fpwhQ4YwePBg+vTpk+8iVQUdhYTpBU6ePMlLL73ElClT5GkXIAp+9uzZQ0JC\nAps2beLy5cvcd999NG/enBYtWlC+fHmZQF0LYYL9FHu7VKU3sNvt/PTTT8yZM4e//z5Eenoqwgw7\nGqE8GyD8UpX51R3AN+j1ehYt+okWLVrk+QNITnBXKb1s2TKee24ADkdp4GWEwlYLR4AvADsnTx73\nmKvMzVBBp9NhtVrzpML70qVL1KvXmKtX0xCq8h4VV3cAU4D9dOzYkUWLFqmyak5hXH97kd3NrnQ6\nnaxYsYIpU6Ywa9Ys7r//flXOvxDqopAwVYTdbmf//v3Ex8ezceNGzp8/T82aNWUCrVKlikcCVcvY\nW1mReTtVpa9YuXIlX3/9Nbt3/4XJdJOs4b53IZTlCWJiWhAXtzKbuXdePYDkBGXBRlhYGE6nk06d\nupCQsBkxlqwD6qqotcBCihQpxq5d26lQwftJLq6GCtI0nmAaywP8+OOPDB48AjEMeyA5h6R9RTIw\nFo0mnR9+mMtTTz2l4trZ4S6MK6Vgcrv/lFXHSjtBq9XKmDFjuHjxIjNnziQqKipo51+IwFBImEGE\nw+Hg4MGDJCQksHHjRpKSkqhevToxMTE0b96catWqyT60yhxobqboOR1PqshU2+Q9mHA3Z3Pbtm1M\nnjyZLVu2YbHYmD17Fh06dHD7fk9hNDUH9Xo6b9d2kf3799O27RNkZOiBVxBtH2rBjAhJH6dnz57M\nmTPH75WU46EMBkM2Far29Wvf/gk2btyGqJB+GP9z1+6wAZhPyZKl+PvvfXnu6ATehXEBt1XH58+f\nZ8CAATz11FO89NJLqlUjezNlBGDYsGGsWrUKo9HI3Llzeeihh9ys5h8cDscdYxThLQoJMw/hcDg4\ncuQI8fHxJCQkcOLECapUqUJMTAwxMTHUrFkzG4F6KuRw3cDuVFUJWTk/NQcOB3uyCLhvFxk6dChz\n5sxHFDX1RoxZUwsHgSno9RqWL1+WOTvTd3hjmq7MgwYyXeTEiRM0atSS9HQtokq6sl/n7B42YCLw\nT8APD2rDXR4ZxOCDlJQU0tPTufvuu9m0aRP/+9//mDJliup9i95MGYmLi2Pq1KnExcWxY8cOhg8f\nzvbt2wM+dlJSElWqZD0oStah/x9QSJi3EQ6HgxMnTsgEevToUcqXLy+HcGvXri1XQnrawLRaLRaL\nRX5yvZNUZV65I3kqhPHHVN6dn2pycjINGzbj6lUTMAj347T8hQP4DtjKAw88yJYtm/z+HXvq9csN\n/uTxxo8fz7hxExD56L6o23t7FvgYrdbC4sUL5bmm+Q3KGbhSpeuqVat47bXXsFqtGAwGXn75Zdq1\na0fdunWD+h3o2rUrr7zyCg8//LD8b4MHD6ZNmzb06tULgHvvvZeEhATKlCkT0LGef/55ypcvT/ny\n5Rk6dGhAa+U3FBJmPoLT6SQpKYmEhAQSEhL4559/KFWqlBzCrVOnjmyKbrVauXLlijwoViIANSv5\ngoXb7bnrr6m8u0KqSZMm8c47HyF6TPujfm5uPGAKaNqKa+g4UKeb3DyFdTod1avX5NKlCwiirIB4\niIgh8MInYVRRrlx59u3bm21qRn6CJ+P0K1euMHjwYOrUqUPt2rXlCSNXrlzhzJkzQfkueJoy0qlT\nJ0aPHi0PDn/kkUf49NNPqV+/vl/HkSI56enpHD16lDFjxlCjRg0mTJigyufIDyich5mPoNFoqFq1\nKlWrViU2Nhan08m5c+dISEjghx9+4MCBAxQtWpTatWuzadMmqlSpwuzZs9FqtbICUM5mDOZYLn+Q\nl1ZrOUGj0cghWmnSvZIApPmMyhC43W6XDeqNRiNWq5X69RuTmHgC/31Pc4IghhIlSrJnz98+t0dI\nkEje6XQSGRmpyn2gvH5Kr1OlH+7+/Xs5deoU06ZNIz4+nvPn43A4fkNsLaWB2ogWm7u8PKoVmAAk\n8vzzzzNt2rSAP0ew4Ml7d/fu3YwaNYpx48bxyCOPoNFo5B5RyWNYbZhMJrp3787kyZPdPly4ah9/\nQ6cSWUrOZw8++CCzZ8/mscceY9q0aQwcOPCOcUPzB4UKMx/CZrMxfvx4Pv/8c9q0acPly5cxGo00\na9aMmJgYGjRokI0AlApK2uSUZgp5iTttPqjy+ikrSQ0GA6tXr+bZZwfgcJREtIv4R2bukYaYtpJE\n3759mT59ut8rKQt7gp3XnjdvHkajkS5dung0VEhJSWHWrFmsXLmSEydOY7OZEVtNcUSLSWPc9+Oe\nAj5Fq7WzYsWyPJvS4Ss8za50OBx89913LF++nO+//56KFSvmyfnkNmVk8ODBtG7dmt69ewOBh2SP\nHj3KihUr6NatGxUrVpSL91577TXZX/ZOz2cWhmTvILz//vskJCTw3XffUb16dZxOJ1evXmXjxo0k\nJCSwe/duQkNDadKkCTExMTRq1EjOnXjqxQt0rmVuuFPng0L2nF9oaCgOh4MuXbqSkLAV0SrSEXXb\nRfYB0zAYdKxZs4rGjRv7tYo3hT1qwWQyUbduQ86fv4jYNuyEhBipXbsqvXr1YvDgwfK0H9c8ss1m\nY+HChSxatIhDh/7FbE5D9ONK483qIVx7VlClyl3s2bNLnkWb3+DJJclkMjFs2DDKly/Pp59+mmcq\ny5spI8qin+3btzNixAifin5sNpt8b23bto1BgwZx7733cuXKFd555x2aN29OaGgoX3zxBT///DPb\ntm1T5bPdThQS5h0Ek8mULR/iCqfTSUpKCps3byY+Pp6dO3ei0+lo2LAhLVq0oHHjxkRERAC3ThUB\n9T017XY76enpd9wsQleSDwkJ4eDBg7Rs+SgZGQZE031VFY/oAGYCO2nQoCF//LEh4MKevFDyy5cv\n55ln+uF0VkAo7WjgIlmORIeBVHQ6I1WrlqZTp4689tprFC9e3K2hgtPpZN26dcydO5c9e/Zx40YK\nAEOGDMp3E2iU8FRMdfjwYYYOHcrIkSPp3r17nj4oejNlBGDo0KGsXr2aiIgI5syZQ7169bxaX9ky\nsmbNGi5cuEDlypVp06YN48aNIzk5mT59+sgPfb1796Z9+/bExsaq/VHzFIWE+f8YTqcTk8nE1q1b\niY+PZ/v27djtdho0aEBMTAxNmzYlOjpafq1Env4OhlYeVwpNBdvAW224axcByc5tMWKShlTE0oLA\nw7HngE/QaNL46qspvPDCC36t4q4nNJjXvHfv3qxYsQZhzPAEnpX2dcSA58MIEr2MRhNO2bJFadu2\nFa+99ho1atQgNTUVgJCQEDkff7sNKbyBsgpWaU+4ePFivv32W+bMmcM996jpaJR/cP36dfr06cOV\nK1e4fPkyrVq14rvvviMtLY3Ro0dTrFgxevbsSe3atVmyZAl2u53evXvf0WHZQsIsQJAq93bs2EF8\nfDxbt27FbDZTr149YmJiaNasGcWKFcvmh+vOUD4nOzpJVcKdZ57g2i7i+vnOnTvH559/zurVazh7\n9j8cDiuiiKUMYvJIDGJOpbdYDiyjdOmy7Nmz0+8J9Xlpg3ju3DkaNmxOSkoGoreymo8rpAPHyJrM\nchZpMkvTpvV54403aNSoEXD7DCm8gSfjdLPZzOjRo7FarUydOlWuYv//AOn6Axw6dIipU6cSHR3N\np59+yt69e+nfvz/vv/8+Xbt25dChQ7z77rsMHz6c1q1bs2jRIrZt28akSZNu86cIDIWEWcBhNpvZ\nsWMHCQkJbNmyhZs3b1K3bl3ZUL5kyZI5GsorQ7hWq/WOVZX+EE5KSgoTJ05k2bLfOHkyCZstg+xT\nWZohvHFd1Vca8DFwlhdffJHPP//c7zC4p4rMYOCbb75hxIi3EJ+tP6AGGVgRRT0HgBUYDGFcv37F\n7SvVMlQIFA6Hg9TU1FtCsKdOnWLw4MHExsby4osv3jH3vzdQkuWxY8cIDQ1lyJAhlC5dmgkTJlCi\nRAkWLlzIhAkTWLJkCXfffTenT5+mcmU1zSpuPwoJU4EXX3yRlStXUrp0aQ4cOHC7T+e2wGq1smvX\nLtlQ/urVqzzwwAOymULZsmU9+uECstVafgyfuYNUSaoG4eQ+laUxgiBmEhoawoYN67jvvvt8VvGQ\nty06drudtm0fYffufcAzQEvUbaE5DEzEYNARH7/B63FtwTBGzw2ejNPXrl3LJ598wowZM1S1l8sP\nkEKo169fZ8CAAZQoUYIZM2YQFxfHwoULeeaZZ3j44YdlI4a0tDTmzJkjv09Jtnc6CglTgU2bNhEZ\nGUnfvn0LLGG6wmaz8ddff8kEmpycTK1atWjevDnNmzcnISGB9evXM3PmTHQ6nbyBKcNn+TH/lBeV\npNmnsvxDeroJcNK0aTPWrFl9yyaSm4qXrmFeFlP9888/xMQ8QkZGCDAckb9VE/OB9dx/fx22bt0c\n0MbqjaGCv/ehp/vFZrMxbtw4jh8/zrfffkvRokX9Pv/8hl27dtGwYUO5Ajg2Npb777+fMWPGyK/5\n/PPPSUpKok+fPjRp0gSr1YpGowlqZfbtRCFhuuDUqVN06tSpkDA9wG63c+DAAVasWMH06dPR6XS0\nbduWpk2bEhMTQ9WqVXP0w80P+ae8nP3oirS0NK/zWu5yeFqtFofDISviYJLl//73PyZMmAI0Qpgz\nqOmNawLGAcm8//57vPnmmyqunQV3DyG+PsgpZ1cqH1CSk5MZNGgQ7dq149VXXzyFQwoAACAASURB\nVL1jqsC9gdlspm3btkydOpV69epx8eJFnnzySVatWkV0dLR8H1ssFoYNG0aRIkUYPXq0/MDw/0lV\nKlHo9FMIn6DT6bh48SLTpk3jxRdf5L333pP9cD/88ENOnTrFXXfdJRvK16hRQx55JW1aGRkZchm+\n2oN5c4K7dpG8hi9FIFqtFq1Wi8FgkAu27Ha7PF3k5s2bQbmGFouF+vUbceLEGUSuskHAa2bHfuAr\nQkND2bZtDzVr1lR5/Sxotdpsv2flg5zZbM7VmF/KEbuaP2zZsoV33nmHL774ghYtWgTt/G8H7HY7\nYWFhPPvssyQmJlK3bl1KlizJvffey6+//kpsbKxMlidOnGD8+PFcvnw5m7r+/0iWOaFQYRYqTI84\ncOAAqampbicsOBwOEhMTZT/cY8eOUalSJbmIqFatWrIC9WSIHgwCVVbv5tTLmh/hqbBHTVN5CQkJ\nCXTs2AOHowRiPJmaQ68B5gAbadiwERs2rL/tG6una6h0KzIajdlce7766iv+r70zD6uq3v7/63BA\nlMMkqCQImgjJNUFRwAGngutEIg5cCAnn4UrarbxkGqbZT/OKM5pDF0nNTO2mFpBpgvegDI5lKEii\nAgoqMgiICGf//vB79gUVRT3AAffreXp65Az7sw+cvfZan7Xe77i4OCIjI19YqPxhntZHERsbi7e3\nNx07dgRg9OjRzJ8/X6NrULN+/XouXbrE8uXLqaioYPPmzfz555/Y2toyfvx4AgMDsbKyYuXKleJ3\nWpu2XeoCqST7EFLA1CyCIJCRkSE6sly4cIFXXnlFzEBff/31ao4sVfefNNEBWZtxEW3lWRt7nldU\nXs20adPYvv07wAMYBWgymBUBi4FbLFny/x7rzagNqINkWVmZqLOamJhIREQELi4uHDlyBFdXVxYt\nWlQn+3RP66OIjY1lxYoV7N+/X+PHVqMOfIWFhbi5uREaGsrbb7/N9evXOXXqFGFhYejr6+Po6MgX\nX3xRZ+vQRqSSrESdIpPJ6NixIx07dmTixIkIgkBmZqYo8Xfu3DnMzc3FDNTJyQmFQlHt4q8OeM+q\nh1t1XEShUDR4NvMsVBVQqK1oek2i8uoAqhaVf/gmpKioCCennty8WciDxp6/aPhsTgBfYmBgQHLy\nOTp06KDh99cc6kqEugQL4OjoSM+ePYmOjubKlSucOHGC06dP069fP2bPni2qZ2mCfv36cfny5Sc+\nR9P5ysP7jerGMhMTE1avXo2vry+urq506tSJ4cOHM3DgQO7evUurVq0e+/qXkcZTr9Ig/v7+9OnT\nh7S0NKytrbXKlLapIJPJsLGxITAwkC1btnD8+HE2b95Mx44d2blzJ0OHDmXUqFGEhYWRlJSETCZD\noVBgZGQkzkhWVFRQXFxMUVERpaWllJeXi2MZau7fv09xcTFyuRxDQ8NG9YUuLy+nuLgYPT09FArF\nc5eP1QFUX18fAwMDjIyMMDQ0FN1XSktLiYyMxMrKlps3TXhgJabJYKkCNgHhuLv34ebNHK0Nlups\nvrS0lBYtWlQrff/888/88ssvbN++nczMTNLS0pgyZQr5+fliUK0vZDIZx44dw8nJiWHDhpGSkvLc\n75Wfnw882G8sLi6muLgY+F8AVKlUDB48mA8++ICJEyeSkpJCWVkZCoUCc3NzALGJ6mXnpS3JagOZ\nmZm888473LhxA5lMxtSpU7W2hKVpBEHg1q1b4h7oqVOnaNGihdiF6+LiIjYR1TRCoC7vVt17agxU\nFfBu0aJFnbfme3uP5NChOMAHGIxmZytv86AEW8jq1SuZPHmyBt9bs9TkXVlaWsr777+PsbGxWIas\nD560LaRu9DIwMCA6OprZs2eTlpb2zMeIiYkhPj6ekJAQfv75Z8LCwjAyMmLDhg3i/mhVvdjPP/9c\nrHiEhobW+42CtiDtYWohOTk55OTk0K1bN4qLi+nRowc//PADDg4ODb20ekcQBAoKCkRHluTkZPT0\n9HB1daVfv364urqKnaenT5/G0tKyWifq8+rh1jf1Peri4NCVq1cvAZ48CJiadAE5DmzByMiYkyeT\nsLLS9Oym5lBn2rq6utWyyosXLzJjxgyCg4Px9/ev17+bZ+mjePXVVzl58uQzyyoePHiQAwcOYG5u\nzokTJwgLC+Prr79GqVSye/du2rRpA1T3uczJyeGzzz7D09MTHx+f5zq3xo4UMBsBI0eO5N133+XN\nN99s6KU0OIIgUFRUJArKJyYmIggCCoWC5ORkIiIiGDRo0Avp4db3+VQVTa+vUZclS5YQHr7h/8py\nKqA5YAN044EZtvFzvKsKWA+cxMPDg3379mlsvXVBTcLp+/btY926dWzZsoW//EXT+7lP50kBMzc3\nlzZt2iCTyUhKSsLX1/epe55qCgoKuHTpEs7OzgiCwMaNG4mPj0dPT49///vfAIwbNw5DQ0PCw8PF\nUuvL0P1aW6SAqeVcvnyZAQMG8McffzzWMf1lJy0tjYCAAFQqFZ6eniQlJXH//n169OghCsqbmJjU\nSg+3vgNoTc4o9U1KSgphYWEcORLLjRu3EIQKnt2V5SawGJmsmM2bN+Hv71/Hq35+avKuLC8vJzQ0\nlNu3b7NhwwaMjIzqfW3+/v7ExcVx69YtLCwsWLhwoWhgPm3aNMLDw9mwYQO6uroYGBiIxsy14cKF\nC3zzzTeoVCr+/PNP5syZg1KpJDk5malTp9KvXz9KS0txd3fH19eXjz766JH3eNmDpxQwtZji4mIG\nDhzI/PnzGTlyZEMvR+sQBIHevXvz9ttvExwcLAacu3fvio4s8fHxlJSU4OzsLMr5mZub16iHW19y\nfmpN0ocH4rUBtStLdPTPZGfXxpUlDoikZUszjh6NpVWrVhr3VtUUNXlXZmdnM3XqVMaMGcOMGTMa\n1Zzu0/jkk0/Q09MjNDSUN998k7Nnz7J48WKmT5/O1atX2bRpE7q6ugQEBGBnZ0diYiIZGRn4+fk1\n9NK1Dilgain379/Hy8uLoUOH8t577zX0crSWqq7vNXHv3j1RUF6pVFJYWIijoyN9+vTB3d0dCwsL\nUUS7agm3LvRw60PDVtM82ZWlBXCFkSNHsmPHjqfquTZkAK1JOP3IkSMsWrSItWvXiobHTQF1Nnj6\n9GnGjx9PZGQkmZmZ/PrrrxgZGTF79mzMzc1JTExk165dtGrViuDgYNEjV+JRpICphQiCQFBQEObm\n5qxcubKhl9PkuH//PidPnhQF5W/dukWXLl1ERxZLS8tqAVRTerg1ZTeNAfVMqyAI6Orq8uWXX7Jr\n1y6uXbvB6tVhT6yANHQpvOpNStV53MrKSv71r39x5swZIiIixFGJpkDV0umlS5dYsmQJKSkpREdH\nk5eXx/Lly2nfvj3//Oc/AVi7di3GxsaMGzdO2rt8AlLA1EKUSiX9+/fH0dFR/INdsmQJQ4YMaeCV\nNU0qKys5e/YssbGxHD16lGvXrtG5c2cxgLZv314MoA/7MdZGy/Xhxh49Pb1GdSGqSU/1ealPY+iq\nwukGBgbi+966dYvp06fj7u5OSEhIk5olLCwsxMTEBHggb7d27VoCAwM5cOAANjY27Nq1i5iYGL77\n7juaNWvGrVu3mD9/fq1t1V5mpIApIfEQKpWKP/74QwygV69exdbWVlQjsrW1rbUeLiBmZi1atGhU\nF+b68tysKZN/UVH5x5VgAZKSkpgzZw5Lly7ljTfeaFQ3L0+itLSULVu20LdvX3r06AHA1KlTmThx\nIr169eL69etMmTKFfv36ERISQnx8POHh4bzzzjvizbiUVT4ZKWBK1EhZWRkDBgwQL5re3t4sWbKk\noZdV76hUKlJTU8UAeunSJWxsbEQ93Ndee61aAH14/05HRwd9ff3n1sNtCBqyg/dFReWrBvqq+8Qq\nlYrNmzfz008//Z/CkfbOhz4r6kCXnZ2NqakpSUlJDBo0iD59+jBt2jSCgoKoqKhg+/btLFiwgJUr\nVzJq1Khqc5aAFCyfgqQlK1EjzZs358iRIxgYGFBRUYG7uztKpRJ3d/eGXlq9oqOjg4ODAw4ODsyY\nMQOVSiVamq1atYq0tDQsLS3FEq6trS0LFy6kd+/eDBs2DOC59XAbgobu4FUbEKsDXdUbkcd9jlVF\n5WvS4L1z5w7vvvsu7du3Jzo6WqPZ8tMcRgBmzZpFdHQ0BgYGbN26le7du2vs+PC/QGdpacmaNWs4\ne/YsHTt25LPPPmP69OkMHDiQ9u3bY2RkhIuLC1evXgV4aVxG6hopw5SoRmlpKQMGDCAyMrJBhrm1\nGUEQuHLlCnFxcezfv58jR45gb2+Pl5cXAwcOxNHREV1d3Wpi6OrMCWrvJlIf59EYOnhr+hx1dHRE\nv9Cq5topKSkEBwfzz3/+Ex8fH41/vk9zGImKimLdunVERUWRmJjI7NmzSUhI0Mixqwqfh4eHk5WV\nRWhoKIsXL0ZXV5dZs2axadMmdu7cyaBBg4iJieGbb74RS7YSz4aUYUo8EZVKhbOzM3/++SczZsyQ\nguVjkMlkdOjQgcOHDxMXF8fnn3+Ol5cXR48eZdu2bfz222+YmpqKe6DdunXDwMCg1m4i9RFAqzbH\n1NYdpaGo6soCD9auLsHK5XIqKysZN24cZWVlWFpacvLkSb799ts6k5Z8msPI/v37CQoKAsDNzY2C\nggJyc3M14qUpl8u5ffs2ZmZm+Pj4MGbMGK5cuYK/vz+bNm3iu+++Y+7cuQwaNIjU1FRmzZqFra0t\nUF0rVuLFkD5FCeDBXfuZM2fIysri6NGjxMbGNvSStJbS0lKOHj3KjBkzsLa2JiAggI0bN3Ls2DG2\nbt2Kvb09u3fvZtiwYXh7e7Ns2TIx01C7iSgUCtFNpKSkhDt37lBSUsK9e/cecWTRFGpnFz09vUZn\nrl1VtUftxmJkZMTnn3+OhYUF58+fRxAEXF1d8fDwECXg6pPs7Gysrf8n9NCuXTuysrKe+/3UPqcq\nlYr8/Hw6dOhASEgI+fn5TJ48mcOHD/P6668zYMAATp06xY4dO+jVqxdBQUHY2tqKr29Mv2dtR8ow\nJaphYmLC8OHDOXHiBAMHDmzo5Wgl77777mN/LpPJsLCwwNfXF19fXwRB4Pbt2xw9epSffvqJhQsX\n0qxZM3r16iUKyqvnNKtmoOXl5RrVw20sJdiaqEk4PSMjg+nTpzNx4kS2bt2KTCYjPz+f+Pj4Ornh\nqA0PH/dFqgbqzPry5ct07NiRcePGcfPmTTZt2sTdu3fFDNLb25vMzEzs7Owe+3oJzdG4vjkSdcKt\nW7fQ1dXF1NSUu3fv8ssvv7BgwYKGXlajRyaTYW5ujo+PDz4+PgiCQGFhIUqlkl9//ZWlS5eio6OD\ni4sL/fr1w83NDYVC8Ygebnl5+XOLAKiDjY6ODkZGRo2q6aPqXGvVcRdBEIiKimL58uVs2rQJJycn\n8TUtW7bEy8urQdZrZWVFZmam+O+srKwX7tCNjY0lKCgIpVKJs7Mz169fx8/Pj7Fjx7J7925sbGzw\n9/cnODi40d0INUakT1iC69evExQUhEqlQqVSERgYKDmm1AEymQxTU1O8vLzw8vJCEASKi4tFR5YV\nK1ZQWVlJz549cXd3p3fv3hgbGz+ih3v37t1a6eGqXToenk9sDFQtwVZV7amoqOCzzz7j8uXLHDx4\nUBzc1wZGjBjBunXr8PPzIyEhAVNT02fav0xOTsbCwgIbGxvxZwMHDiQ4OJhFixbRv39/9u7dy7hx\n49i0aRMhISH88ccfgFR2rS+kLlkJrUMdNNq1a8eBAwcaejn1hjpIJCQkEBsby7FjxygrK6N79+64\nu7vTt29fWrZs+VQ9XLlcLmalVV06Ggs1SQvm5OQwbdo0hg8fzqxZs+o9SDzNYQQgODiYmJgYFAoF\nERERODs71+q9L1++zLvvvouPjw+jR4/GxMSkWmfszp07uXHjBmvWrGHMmDF88cUXGmsokngUSbhA\notGwYsUKTp48yZ07d9i/f39DL6dBKSsrIykpSRSUv3PnDt26dRMdWVq3bl0tgKrVhoBqAVSTMnR1\nyeO8K+HBSMf8+fNZuXJlk50P3r17N9HR0fj6+uLh4YGurq5oOiAIAvn5+aLJ9d69e1EoFED1kRMJ\nzSAFTIlGQVZWFuPHj2fevHmsWLHipcowa8P9+/erObLcvn2b119/nT59+nDz5k3Wr19PQkIChoaG\njxhrV5Wh07YAqm5MqqioqJYVq1QqVq9eTXx8PFu3bqVNmzYNvFLN8bhAt3TpUjIzM5kwYQI9e/YE\nqo+FqMXx1cFSom6QAuZLQmOXvho7diwff/wxRUVFLF++XAqYT6GiogKlUsn7779PdnY2jo6OWFlZ\niWpE1tbWjwjK16SH21D7YDUJp+fn5zNz5kycnJwIDQ1tUllU1SD4ww8/IJfL8fDwQC6XM2fOHFq2\nbMk777xDx44dH/ua2tjdSTw/knDBS0LV33NlZaVWmfo+jR9//JE2bdrQvXt3aQ60lty4cYOpU6cy\ncOBAlEol+vr6nDt3jtjYWObNm0dWVhZ2dnbiHuirr776iB5ueXn5M+u4aoqahNNPnz7NP/7xDxYu\nXMiQIUMazd9wbVF/thMnTuT69eu0b9+eqKgoPvzwQ+bMmcO8efM4dOgQo0aNolWrVtVeA0jBsoGQ\nMswmRElJCUeOHMHZ2RlLS8tHHlepVAiCoLVB9OOPP2bbtm3o6upSVlZGUVERo0eP5uuvv27opWkt\nKpWKX3/9FQ8PjxofP3/+vCgof/nyZTp06CAKytvZ2YkB9OESbl3q4T5JOD0yMpLdu3cTGRlJ+/bt\nNXbMhqaoqKjauUZERJCZmUloaCiTJk3ixIkTeHh48Mknn3DmzBmWLVvGxx9/3GT3bLUZqST7EqC+\ncI4bN45Tp04xfvx4Pvzwwye+Jj09HUtLSwwMDOpplbUjLi5OKsnWASqVivT0dGJjY4mLi+PixYtY\nW1uLJVwHB4caAyhoRg+3agm2RYsWYiAuKSnhH//4B2ZmZixfvrxa009jp7CwkK1bt/Lmm29y4sQJ\nKisr8fPzA2DmzJk0a9aMSZMmERISgqenJx9//DEJCQn07t27gVf+ciKVZF8ClEolrq6ufP3118TG\nxrJmzRoKCgpo0aIFSqWSjRs30qdPH0aMGCHujaxZs4a5c+eKAVMQBDELbWi0MQtu7Ojo6GBvb4+9\nvT1Tp05FEAQyMjKIi4sjPDycCxcuYGFhIZZwu3btir6+vsb0cGsyqU5NTWXmzJnMnj0bX1/fJve7\nNzExQV9fn7/+9a9YWFiwceNGFAoF165dIycnh5iYGACaNWtGZmYmV65cEYOlpAWrPUgZZhPC29ub\nUaNGERQURFZWFp988gkTJkzgwoULpKSkMHXqVLZt24YgCISGhrJq1So2bNjAxo0bRXuqqlT9oqpb\n/SWaNoIgkJWVJZZwz507h5mZmSgo7+TkhJ6enhhAH/YEfbiEqw58NZVgBUHg+++/Z8OGDXz11Vd1\nIpweExPDe++9R2VlJZMnTyYkJKTa47GxsXh7e4s3kaNHj2b+/PkvfFyVSoVMJqtmaP3RRx9ha2vL\n5s2bRbut7t27061bN/T19cnJyWHTpk1Nqhu4MSJlmE2ckpISlEolixYtAh7Ms5WUlFBaWkpUVBTJ\nycmYmppia2vLTz/9JIpVm5qaMnfuXC5cuEBgYCAHDhzA3t6evn37isEyPT2defPm8cEHH+Dq6tqQ\np1mvdOjQAWNjY+RyOXp6eiQlJTX0kuocmUyGtbU1gYGBBAYGIggCOTk5xMXFsXPnTkJCQjA2NqZP\nnz64u7vTo0cPsTpRkx6uXC6noqICQRCqOaSUl5czf/58CgsLOXjwIIaGhho/n8rKSoKDgzl06BBW\nVla4uLgwYsSIRwLzgAEDNDrzW7VK88svv5CTk4ONjQ2//vorY8aM4V//+hfTpk3D2NiYmJgY1q5d\ny7179/jyyy8BKavUVqSA2URISUmhsrKS1NRU7O3t2bhxI2ZmZjg4OHDz5k2ioqI4ceIESqWSoqIi\n7O3tiYyMZN68eeJeypUrVyguLmbZsmUUFhayatUqunfvTkpKCmZmZhgZGQH/a2lPTU1FqVTi4+OD\nmZlZQ55+nSCTyYiNjW2S51ZbZDIZbdu2xc/PDz8/PwRBIC8vj7i4OPbt28eCBQto3rw5vXv3pm/f\nvri6ulYLoDk5OaI+riAIhIeHU1JSQteuXVm7di0BAQFMmTKlzoJDUlISnTp1okOHDgD4+fmxb9++\nRwKmpotp6gTl008/5dChQ0yYMEHsfl2wYAHBwcE4OjqSmpqKXC5n8eLF4mulkRHtRbqFaSIkJyfj\n5ubG8ePHcXR0JC8vj08//ZRmzZqRn59P165dmTRpEhERERw+fBiFQsG5c+ewtLSsVk7r0qULe/fu\nxdXVlQsXLgDw+++/07Zt20dkuBITE4mPjycvLw9ALNGpVKr6Pfk6RNqVqI5MJqNVq1aMHj2aNWvW\n8N///pfdu3fTs2dPfvnlF0aOHImXlxcLFy4kNDSU3r17c+fOHYyNjTEyMqJz586kp6fz3nvvcfLk\nSXbv3s3nn3/OsWPH6mS9j7Pcys7OfuScjh07hpOTE8OGDSMlJeW5jqX+W1H/v7i4mKKiIpRKJSUl\nJQDY2NjQtWtXgoOD2bNnD19//XU1+Ty1yL6EdiL9ZpoIP/zwA2PHjmXKlCksXbqUsrIyUZh61qxZ\nuLu706tXL9zc3Ojbty8FBQXo6+vj5OSErq4uly5dYtKkSbRr146PPvqI69evi04LV65coW/fvhgb\nGwP/mwdLS0ujS5cu4n7L47IEbWoielZkMpk4TD5t2jSmTJnS0EvSOmQyGS1btsTb2xtvb28EQSA7\nOxt/f38uXbqEi4sLU6ZMwcXFhT59+nD8+HHu3r3L77//jkwmQ6lUEhcXx/bt2+nTp0+drO9pODs7\nk5mZiYGBAdHR0YwcOZK0tLRnOs7DogJ6enoUFRURGxvLiBEjaN68OQcOHMDCwoITJ04wevRohgwZ\nQosWLdDV1RVf3xi/Jy8TUsBsIsybNw97e3sA9PX10dfXFx+bPn06zs7OREdHc/bsWXr37o2hoSGm\npqZs376dmTNnsmvXLuRyOdu2beP27dvMnz8fCwsL8vLyKC4uxtraWrzz1dHRobKyUlSWMTEx4dy5\ncyxZsoQ2bdowfPhw0e2katODOvNsLBeF+Ph42rZty82bN/H09KRz587069evoZel1ZSXlzN48GD6\n9u3LwYMHad68OaWlpRw/fpw9e/Zw584d9u7dK/4NvPXWW7z11lt1tp6HLbcyMzNp165dteeotxoA\nhg4dyt///ndu375d61J8VYm7tWvXkpiYyF//+lcGDx7M6NGj2bFjh5i1/vjjj3z11VeEhYWJTUaS\nFmzjQQqYTYQBAwY88XFXV9dqDTuVlZV4eXmxdu1aunXrhr29PYcPHyYuLo79+/dz+vRpZs+ezfnz\n5zE0NBSFENRf7rS0NCoqKujYsSO//fYbs2bNYtu2bcTFxREZGUnXrl1p06YNq1atYvDgwbzyyiu0\nbNnykXWpFWaqBlZtoW3btgC0bt0aHx8fkpKSpID5FPT19fnuu+/o0qWL+DOFQoGHh0eN4gp1Sc+e\nPbl48SKXL1/G0tKSXbt2sXPnzmrPyc3NpU2bNshkMpKSkhAE4Zn2reVyOSqVirCwMJKSkvD09CQ5\nOZn9+/czZ84cUlJSGDNmDFZWVsTHx7NkyZJqkndSsGw8SAHzJeFhlR+5XE5AQAABAQHAg/2Wa9eu\nER4ejqmpKZ06daJdu3b85z//oXXr1qI8l3p/5uzZs5iZmaFQKNizZw/Hjh3j008/xdHRkWbNmvHN\nN98watQoVq9eTXp6OnFxcVhbW7Nz585qHoZV92vUbfYXLlygU6dODbqXU1paSmVlJUZGRpSUlHDw\n4EHJVLuWVA2WDY2uri7r1q1j8ODBVFZWMmnSJBwcHNi4cSPwwJZrz549bNiwAV1dXQwMDPj222+f\n+Tjr169n/vz5nDt3Djs7O65du8b69es5evQoW7Zs4ccffyQ3N5dPPvmEVq1aNXrN55cVaQ7zJUad\n3T2uRJqXl4e5uTlffvklRkZG+Pr6oqenJ2aYCxYswMDAgJkzZxIUFIS/vz/W1tZ8//33nDt3jjlz\n5pCfn8+WLVtYtmwZXbp0YerUqXh6ejJ27FiOHTvG0qVLsbS0ZNSoUfTs2RMzMzPu3bvHmDFjRIWf\n3NxcoqKiCAoKqtdSbkZGBj4+PuLnFBAQwNy5c+vt+BKNi6KiIvr370///v1Zs2YNAJs3byY9PZ0v\nvvii2nOlEqz2I81hSjzCw9mdeo9RLpdjbm4OPNj/rIpcLkcQBFJTU/H09MTQ0JDbt29jYmKCm5sb\nbm5u4nMnT57MW2+9RadOnYAHwU8mk5GQkMDatWvx9PTEysqKkJAQ3NzcmDJlCsuWLePUqVPiReXw\n4cOsWbOGCRMmiPqm9RE4X331Vc6cOVPnx5FoGhgbG7N9+3Z8fX2JjIwkKCiIS5cukZubW03AQD2b\nKtE4aRzdFxJ1jrpM+/CX+XEjIjKZjPDwcLy8vAAICwtj3rx5vP3226xevVocEcjMzKRLly7o6+uL\nIuADBgxg27ZtvPHGG0yfPp1Ro0ZhYGCAQqGgR48e5OTkYG5uzpAhQ4iJiSEnJwcnJyfKy8tF/dLH\nFT6a0ihLTRQUFDBmzBgcHBz4y1/+QkJCQkMvSaIKr7/+OnPnzmXChAkEBgaSkZFBaGhoNcUjqQTb\nuJEyTIknUlM2p85ABUHA2dmZ//znPxw+fJjffvuN/v37k5aWRm5urtiRmJKSgr6+Pq1bt+bmzZvY\n2dmJgU9fX1/sqs3IyCA+Ph5ra2vKy8tZuHAhFhYWjB07litXrrBjx45qe2TqTDQhIYHY2Fg8PDxw\ndXUV90ObErNnz2bYsGHs2bOHiooKcbZPQnsIDAzk6tWr/PTTT+KNY3l5L8z2lAAABohJREFUeZMS\nkn+ZkTJMiRdCHZSsrKx45513WL58Od27d8fGxoYtW7aInaaHDh0Su2Tt7e05ceIEzZo149SpU2Rn\nZ9OtWzdu3rxJUVER1tbWCILAjRs3SE9PJywsjH379tG5c+dHhsrVGfHKlSuxsbERO4HV62oqQgqF\nhYX897//ZeLEicCDcnrV5ikJ7eH999/HxMRE3M6QgmXTQcowJTSCeg9UvcfYvHlzevbsKT4+efJk\nsYQ7YMAAZs2axR9//EFOTg6tW7fG0tKSbdu20blzZ+BBwDtz5gxdunTB1taWwsJCOnXqRE5OziPH\n3rdvH4aGhgwfPlz82ZUrV2jfvv1jS8za7AlaExkZGbRu3ZoJEyZw9uxZevTowerVq7XOlk0CWrRo\nwfr160WlLImmg5RhSmgE9R5oTSVcQ0NDOnXqhCAIODk5cfbsWebOncutW7cIDAwEHpSuzMzMSE9P\nBx4IB6iDbnZ2Nvfu3RPHW9T+jDk5ORw5coSBAwfSsmVLysrKWLVqFePHj6d79+6MHDmSGzduUFpa\nCjwoMcvl8mpiCmphcG2moqKCU6dO8fe//51Tp06hUChYunRpQy9LogZeffVVhg4d2tDLkNAwUoYp\nUS+o9xTv3r3LqFGjEAQBe3t7LC0tRaUXLy8vLl++zAcffMDy5ctRKpXMnDkTgKtXr1JRUSF23KoD\n3O+//05ZWRmOjo4AfP/99+zYsYOoqCgUCgXx8fHo6uqyd+9evvrqK1577TXatm3LjBkzsLCweGSs\nZvv27djb29OzZ0+tUiRq164d7dq1w8XFBYAxY8ZIAVNCop7RniuCRJNGndEZGBigVCrZuXMnI0aM\nICIiQlQRsrCw4LPPPmPfvn3Y2dmxYsUKvL29AcjKyqK0tBQbG5tq75eVlUWrVq3EzDMqKoq//e1v\ntG7dGgMDAzw9PdHX1ycxMRFBEAgODiY1NZXFixezZs0a+vXrx1dffSWu08HBgfXr12tVsAR45ZVX\nsLa2FjVODx06pFUCAZokJiaGzp07Y2dn98gMo5pZs2ZhZ2eHk5MTp0+frucVSrysSBmmRINgY2Mj\nBj81KpUKlUollkxdXFzETHLixIkMGTJEdExR7022bNmSyspKsQHm/PnzYon33r176OvrU1hYSGFh\nITNnzqRr16507dqVHTt2MHnyZIyMjIiNjeWtt96iTZs23L59m4KCAnE92hQ41XZY5eXl2NraEhER\n0dBL0ji18a+MiooiPT2dixcvkpiYyIwZM6QRG4l6QXuuBhIvPTo6Oujq6orZY9XREB0dnWqi2epA\namVlxfnz5zE2NkYQBMaNGyd6fqoF6HNzc8nPz6d3794AohKRk5MTgwcPpqKiQszc8vLy6NKlC0VF\nRVoVLAGcnJxITk7m7NmzfP/9902yS7aqf6Wenp7oX1mV/fv3ExQUBICbmxsFBQXk5uY2xHIlXjK0\n64ogIVGF2nSxFhQUiLZjAP7+/ly8eJFevXoREBBAXl4eFy5cQE9PT5ztzM3NFcuZ2dnZFBYWit25\n8KD5qKysTPMn1IRITU2le/fu4n8mJiaiJNyLUBv/ysc9Jysr64WPLSHxNKSSrESjRB1MHRwc6N+/\nP+np6XTq1IlXXnlFFM/OzMwUM8+uXbsCDzpvy8vLsbGxQRAE0tPTMTU1pVWrVpSXl5OXl4dMJhM9\nPiUez2uvvSbuHapUKqysrETt3RehtqM+D3c1N6YRIYnGixQwJRo17dq1Y/LkyeK/1eMmcrlczELe\nfvtt8XFTU1MCAgIwMzOjtLSUhIQEsekoIyODq1evVss2JZ7OoUOHsLW1rZb1PS+18a98+DlZWVmi\n2bmERF0iBUyJJsXjhK2rNu+oS4jwYF90xIgRooHwjz/+iFwu54033qi/BTcBvv3222o3JS9Cbfwr\nR4wYwbp16/Dz8yMhIQFTU1OxGUxCoi6R7L0kXipqslYSBIFBgwaxaNEi+vfv3wAra5yUl5djZWVF\nSkoKrVu31sh7RkdH895774n+lXPnzq3mXwkQHBxMTEwMCoWCiIgInJ2dNXJsCQmo2d5LCpgSLzWC\nIHD//n3Cw8OprKzkww8/bOglNSr27dvHhg0biImJaeilSEhoDClgSkg8BfXcpkTt8fPzY+jQoeKY\nh4REU6CmgCkhISHxvCiAW4BRQy9EQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJCQkJC\nQkJCQkJCQkLiefj/d2FIMZan1xQAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x105591358>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Scatter plot"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(6,6))\n",
      "ax = fig.add_subplot(111)\n",
      "\n",
      "colors = ['blue', 'red', 'green']\n",
      "markers = ['s', 'o', '^']\n",
      "\n",
      "for lab, c, m in zip(range(3), colors, markers):\n",
      "    ax.scatter(X[y==lab, 2], X[y==lab, 3], \n",
      "               c=c,      # color\n",
      "               marker=m, # marker symbol\n",
      "               s=40,     # markersize\n",
      "               alpha=0.4, # transparency\n",
      "               label=label_dict[lab]\n",
      "               )\n",
      "\n",
      "ax.set_xlabel('petal height (cm)')\n",
      "ax.set_ylabel('petal width (cm)')\n",
      "plt.legend(loc='upper left')\n",
      "plt.grid()\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YtS2LeO2D14i4PgKr1UpDSgPPPfGcQxOTuQrRJiEIwqTryyLkCjkqD9WgbKIv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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10894c6a0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<br>\n",
      "<br>"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "3D Scatter plot"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[[back to top](#Sections)]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "\n",
      "### plot scatterplot\n",
      "\n",
      "fig = plt.figure(figsize=(8,8))\n",
      "ax = fig.add_subplot(111, projection='3d')\n",
      "\n",
      "colors = ['blue', 'red', 'green']\n",
      "markers = ['s', 'o', '^']\n",
      "\n",
      "for lab, c, m in zip(range(3), colors, markers):\n",
      "    ax.scatter(X[y==lab, 1], X[y==lab, 2], X[y==lab, 3], \n",
      "               c=c,      # color\n",
      "               marker=m, # marker symbol\n",
      "               s=40,     # markersize\n",
      "               alpha=0.7 # transparency\n",
      "               )\n",
      "\n",
      "ax.set_xlabel('sepal width (cm)')\n",
      "ax.set_ylabel('petal height (cm)')\n",
      "ax.set_zlabel('petal width (cm)')\n",
      "plt.show()\n",
      "\n",
      "\n",
      "### plot legend\n",
      "fig,ax = plt.subplots(1,1)\n",
      "ax.hold(True)\n",
      "\n",
      "# dummy plot\n",
      "[ax.plot(None, None, \n",
      "         marker=m, ls='', \n",
      "         c=c, label=l) \n",
      "     for c,l,m in zip(colors, labels, markers)]\n",
      "\n",
      "ax.legend(labels, \n",
      "          loc='upper left',\n",
      "          numpoints=1) # show marker symbol in legend only once\n",
      "\n",
      "# hide axis ticks\n",
      "ax.tick_params(axis=\"both\", which=\"both\", bottom=\"off\", top=\"off\",  \n",
      "       labelbottom=\"off\", left=\"off\", right=\"off\", labelleft=\"off\")\n",
      "\n",
      "# remove axis spines\n",
      "ax.spines[\"top\"].set_visible(False)  \n",
      "ax.spines[\"right\"].set_visible(False) \n",
      "ax.spines[\"bottom\"].set_visible(False) \n",
      "ax.spines[\"left\"].set_visible(False)\n",
      "\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ggQfw4osvwu12R/3t2muvRVNTE5xOJ9atW4elS5fi5MmTOd33RBjzES3PkBSs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\nEBoaytKlS7lx44ZUz+nm5oaXlxfe3t4olUrUarXZtmT5ieW4c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iICX19fqlWrxs6dO/n4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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x105558c18>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x107e68278>"
       ]
      }
     ],
     "prompt_number": 15
    }
   ],
   "metadata": {}
  }
 ]
}